Pith Number

pith:DOO3CZDS

pith:2013:DOO3CZDS3RA3PMDSVO5D3VGHNO

not attested not anchored not stored refs pending

An elementary fact about unlinked braid closures

J. Elisenda Grigsby, Stephan M. Wehrli

arxiv:1309.0759 v3 · 2013-09-03 · 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{DOO3CZDS3RA3PMDSVO5D3VGHNO}

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	2026-05-18T02:30:55.173395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9db16472dc41b7b072abba3dd4c76ba1da3005c561a2248f388efedf073376

Aliases

arxiv: 1309.0759 · arxiv_version: 1309.0759v3 · doi: 10.48550/arxiv.1309.0759 · pith_short_12: DOO3CZDS3RA3 · pith_short_16: DOO3CZDS3RA3PMDS · pith_short_8: DOO3CZDS

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/DOO3CZDS3RA3PMDSVO5D3VGHNO \
  | 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: 1b9db16472dc41b7b072abba3dd4c76ba1da3005c561a2248f388efedf073376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faab23c967136c197842eff29cd1b2c7206f0c4dc8a51fd383c4095a6fd87523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-03T17:56:47Z",
    "title_canon_sha256": "b1e792b5c7957423435bc8928ebfcc44710710b5549c037c1ff4c13f9ac5ccf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0759",
    "kind": "arxiv",
    "version": 3
  }
}