Pith Number

pith:EXDWLQ7P

pith:2013:EXDWLQ7PKQAPDQOW67FIWLZOYB

not attested not anchored not stored refs pending

Comparing Euler classes

Aravind Asok, Jean Fasel

arxiv:1306.5250 v2 · 2013-06-21 · math.AG · math.AC · math.AT · 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{EXDWLQ7PKQAPDQOW67FIWLZOYB}

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	2026-05-18T01:08:45.349084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c765c3ef5400f1c1d6f7ca8b2f2ec04f654406cc34a7392a7a3fa491522c40

Aliases

arxiv: 1306.5250 · arxiv_version: 1306.5250v2 · doi: 10.48550/arxiv.1306.5250 · pith_short_12: EXDWLQ7PKQAP · pith_short_16: EXDWLQ7PKQAPDQOW · pith_short_8: EXDWLQ7P

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/EXDWLQ7PKQAPDQOW67FIWLZOYB \
  | 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: 25c765c3ef5400f1c1d6f7ca8b2f2ec04f654406cc34a7392a7a3fa491522c40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4477ab18d67bff6bc2086e06c0a11687fe0aaf5371cf0cadc0a68a25e87dd984",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-21T20:18:02Z",
    "title_canon_sha256": "a4dcd1d554ee0545d9f02f7696c296d96f56bd29bcdfef4276497958fc25fbfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5250",
    "kind": "arxiv",
    "version": 2
  }
}