Pith Number

pith:56L2NBAG

pith:2017:56L2NBAGNEHEATAMVGPPEQFJSI

not attested not anchored not stored refs pending

The geometry of the cyclotomic trace

Aaron Mazel-Gee, David Ayala, Nick Rozenblyum

arxiv:1710.06409 v1 · 2017-10-17 · math.AT · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56L2NBAGNEHEATAMVGPPEQFJSI}

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	2026-05-18T00:32:36.833728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef97a68406690e404c0ca99ef240a9922de38a3f0ec2100988f9a45c6b98b1f0

Aliases

arxiv: 1710.06409 · arxiv_version: 1710.06409v1 · doi: 10.48550/arxiv.1710.06409 · pith_short_12: 56L2NBAGNEHE · pith_short_16: 56L2NBAGNEHEATAM · pith_short_8: 56L2NBAG

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/56L2NBAGNEHEATAMVGPPEQFJSI \
  | 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: ef97a68406690e404c0ca99ef240a9922de38a3f0ec2100988f9a45c6b98b1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61c47346d52d1d7d46cc16c157b1c3d80830ead49763da917ab327100f460a93",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-10-17T17:38:49Z",
    "title_canon_sha256": "aeeccc87420ec3927a6abe1cfaf60b8f68a5a6dee6f6d210d3f42392b750c1a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06409",
    "kind": "arxiv",
    "version": 1
  }
}