Pith Number

pith:WW7J7UEI

pith:2012:WW7J7UEIWBDSNY2MCIWWJXAMTF

not attested not anchored not stored refs pending

Stick index of knots and links in the cubic lattice

Colin Adams, Liyang Zhang, Michelle Chu, Stephanie Jensen Kyler Siegel, Thomas Crawford

arxiv:1205.5256 v1 · 2012-05-23 · 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{WW7J7UEIWBDSNY2MCIWWJXAMTF}

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	2026-05-18T03:55:01.931475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5be9fd088b04726e34c122d64dc0c9962b722e604958b0d514b998afd97ed10

Aliases

arxiv: 1205.5256 · arxiv_version: 1205.5256v1 · doi: 10.48550/arxiv.1205.5256 · pith_short_12: WW7J7UEIWBDS · pith_short_16: WW7J7UEIWBDSNY2M · pith_short_8: WW7J7UEI

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/WW7J7UEIWBDSNY2MCIWWJXAMTF \
  | 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: b5be9fd088b04726e34c122d64dc0c9962b722e604958b0d514b998afd97ed10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "379c34426a1f56f8ce6ce25aed967606acadaf0ef7d933c216326d8171738906",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-23T19:16:26Z",
    "title_canon_sha256": "fcb6d4835ab48523717b4b102c41bc77b15aac139d7234f27accaf907ea8a8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5256",
    "kind": "arxiv",
    "version": 1
  }
}