Pith Number

pith:VYIPCI3M

pith:2006:VYIPCI3M4WJTGPVVBZCNSR42OR

not attested not anchored not stored refs pending

The almost alternating diagrams of the trivial knot

Tatsuya Tsukamoto

arxiv:math/0605018 v2 · 2006-04-30 · 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{VYIPCI3M4WJTGPVVBZCNSR42OR}

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	2026-05-18T02:57:45.598634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae10f1236ce593333eb50e44d9479a744c587b1b95592a3722ff995d129f36cd

Aliases

arxiv: math/0605018 · arxiv_version: math/0605018v2 · doi: 10.48550/arxiv.math/0605018 · pith_short_12: VYIPCI3M4WJT · pith_short_16: VYIPCI3M4WJTGPVV · pith_short_8: VYIPCI3M

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/VYIPCI3M4WJTGPVVBZCNSR42OR \
  | 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: ae10f1236ce593333eb50e44d9479a744c587b1b95592a3722ff995d129f36cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e285ff5794e21c2440fbb643f571fa8b9a901a5fdadc407e0190f9b6b3c0aa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-04-30T10:57:23Z",
    "title_canon_sha256": "3af128ec479af1f0eb14d78529cfc6a5c94d0a776497bce7630c22ef37171018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605018",
    "kind": "arxiv",
    "version": 2
  }
}