Pith Number

pith:4B4J57FZ

pith:2018:4B4J57FZVBCYBKWXVDQEHQPMNO

not attested not anchored not stored refs pending

On the tree-width of knot diagrams

Arnaud de Mesmay, Eric Sedgwick, Jessica Purcell, Saul Schleimer

arxiv:1809.02172 v2 · 2018-09-06 · 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{4B4J57FZVBCYBKWXVDQEHQPMNO}

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	2026-05-17T23:45:20.706504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0789efcb9a84580aad7a8e043c1ec6b97fbd64abd068132b6d116736dccfb40

Aliases

arxiv: 1809.02172 · arxiv_version: 1809.02172v2 · doi: 10.48550/arxiv.1809.02172 · pith_short_12: 4B4J57FZVBCY · pith_short_16: 4B4J57FZVBCYBKWX · pith_short_8: 4B4J57FZ

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/4B4J57FZVBCYBKWXVDQEHQPMNO \
  | 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: e0789efcb9a84580aad7a8e043c1ec6b97fbd64abd068132b6d116736dccfb40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b12d77021028f9b193fb93009643ed27bf6d7e043e901e81b69e5bc4838e81a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-06T18:52:26Z",
    "title_canon_sha256": "1713c43af9a25a67c7b75d9b9b1d65ad9c4e67d98fe8369d869e870342c381e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02172",
    "kind": "arxiv",
    "version": 2
  }
}