Pith Number

pith:L5T2LV2W

pith:2020:L5T2LV2WGT3TKWPUL7IVH3R75D

not attested not anchored not stored refs pending

Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity

Jacob Tsimerman, Michael Lipnowski, Will Sawin

arxiv:2007.12533 v1 · 2020-07-24 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5T2LV2WGT3TKWPUL7IVH3R75D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Sandpile groups of random bipartite graphs and families of distributions with the same moments

Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random Polynomials

Presentations of Galois groups of unramified extensions of global fields and its predicted distribution

Receipt and verification

First computed	2026-07-05T01:21:53.193458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f67a5d75634f73559f45fd153ee3fe8f30b7933f1a44bcc8f34df449356f542

Aliases

arxiv: 2007.12533 · arxiv_version: 2007.12533v1 · doi: 10.48550/arxiv.2007.12533 · pith_short_12: L5T2LV2WGT3T · pith_short_16: L5T2LV2WGT3TKWPU · pith_short_8: L5T2LV2W

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L5T2LV2WGT3TKWPUL7IVH3R75D \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5f67a5d75634f73559f45fd153ee3fe8f30b7933f1a44bcc8f34df449356f542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc7cb5c8bc632370c89bc7e6f0ba90e4cedff6c75ea77d316baf234b5daecae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-07-24T14:21:38Z",
    "title_canon_sha256": "0881437e4226a78255521630a49c4c3ad937b45751515781400669eec8d0c706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.12533",
    "kind": "arxiv",
    "version": 1
  }
}