Pith Number

pith:3UN2OITB

pith:2016:3UN2OITBOEHAOLGMDIEQLZAE2J

not attested not anchored not stored refs pending

Cohen Lenstra Heuristics for \'Etale Group Schemes and Symplectic Pairings

Jacob Tsimerman, Michael Lipnowski

arxiv:1610.09304 v1 · 2016-10-28 · 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{3UN2OITBOEHAOLGMDIEQLZAE2J}

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.

Receipt and verification

First computed	2026-05-17T23:50:16.568673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1ba72261710e072ccc1a0905e404d26f857d540167d89cde0c7dc8fdc44dbe

Aliases

arxiv: 1610.09304 · arxiv_version: 1610.09304v1 · doi: 10.48550/arxiv.1610.09304 · pith_short_12: 3UN2OITBOEHA · pith_short_16: 3UN2OITBOEHAOLGM · pith_short_8: 3UN2OITB

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/3UN2OITBOEHAOLGMDIEQLZAE2J \
  | 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: dd1ba72261710e072ccc1a0905e404d26f857d540167d89cde0c7dc8fdc44dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57bbbab62e7c5ad3775d5deb94a2979e14961c5b12ec019d4cbacc2c46fadfb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-28T16:36:11Z",
    "title_canon_sha256": "ab2dd552b4caac6549180ba7a02719111955271f78338ae185c6c5969a9fb754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09304",
    "kind": "arxiv",
    "version": 1
  }
}