Pith Number

pith:YB5IXPJ4

pith:2013:YB5IXPJ4WZZCSFVFRP353QMGUC

not attested not anchored not stored refs pending

The two definitions of the index difference

Johannes Ebert

arxiv:1308.4998 v3 · 2013-08-22 · math.KT · math.AT · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YB5IXPJ4WZZCSFVFRP353QMGUC}

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	2026-05-18T01:06:23.266098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c07a8bbd3cb6722916a58bf7ddc186a0a39c87593a83cc07897e3eb749460dfd

Aliases

arxiv: 1308.4998 · arxiv_version: 1308.4998v3 · doi: 10.48550/arxiv.1308.4998 · pith_short_12: YB5IXPJ4WZZC · pith_short_16: YB5IXPJ4WZZCSFVF · pith_short_8: YB5IXPJ4

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/YB5IXPJ4WZZCSFVFRP353QMGUC \
  | 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: c07a8bbd3cb6722916a58bf7ddc186a0a39c87593a83cc07897e3eb749460dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e811974593b1432b920942e8bdc8e3cf71c5e72bcbc08a364c4d8d383951b13",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-08-22T21:40:37Z",
    "title_canon_sha256": "c64394a821daf19b611fedb2ee9d7edbd13b9ecfa4c5739922660f7c41acfb0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4998",
    "kind": "arxiv",
    "version": 3
  }
}