Pith Number

pith:6KWRP7Z3

pith:2004:6KWRP7Z34SIT5CNRWBTVSEKTB4

not attested not anchored not stored refs pending

Jacobi identities in low-dimensional topology

James Conant, Peter Teichner, Rob Schneiderman

arxiv:math/0401427 v2 · 2004-01-30 · 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{6KWRP7Z34SIT5CNRWBTVSEKTB4}

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	2026-05-18T04:02:01.286743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ad17ff3be4913e89b1b0675911530f1d060fa46fd6c7ad3ec2ac2501bff847

Aliases

arxiv: math/0401427 · arxiv_version: math/0401427v2 · doi: 10.48550/arxiv.math/0401427 · pith_short_12: 6KWRP7Z34SIT · pith_short_16: 6KWRP7Z34SIT5CNR · pith_short_8: 6KWRP7Z3

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/6KWRP7Z34SIT5CNRWBTVSEKTB4 \
  | 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: f2ad17ff3be4913e89b1b0675911530f1d060fa46fd6c7ad3ec2ac2501bff847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f00cfaf68995e97a066389deb676f16d628a1847711f7d282309dc92016832a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2004-01-30T04:02:31Z",
    "title_canon_sha256": "0a3651caf869504c2d89eba56213b94fe3f29984e18da78bd8c7f8b31cb0d1ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401427",
    "kind": "arxiv",
    "version": 2
  }
}