Pith Number

pith:7KASMPXE

pith:2013:7KASMPXENPX3YNJFOCYDCXR65J

not attested not anchored not stored refs pending

A positive basis for surface skein algebras

Dylan P. Thurston

arxiv:1310.1959 v2 · 2013-10-07 · math.GT · math.CO · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KASMPXENPX3YNJFOCYDCXR65J}

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.

Cited by

1 paper in Pith

Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects

Receipt and verification

First computed	2026-05-18T01:00:40.878396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa81263ee46befbc352570b0315e3eea5e2f56b51f9f31555375c380cefc7da1

Aliases

arxiv: 1310.1959 · arxiv_version: 1310.1959v2 · doi: 10.48550/arxiv.1310.1959 · pith_short_12: 7KASMPXENPX3 · pith_short_16: 7KASMPXENPX3YNJF · pith_short_8: 7KASMPXE

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/7KASMPXENPX3YNJFOCYDCXR65J \
  | 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: fa81263ee46befbc352570b0315e3eea5e2f56b51f9f31555375c380cefc7da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1362d00baa28c1f416c7939ede997879e10d89402d46fce900f150838e8cc309",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-07T21:30:52Z",
    "title_canon_sha256": "fcf5349e4519f3303794ba16f986301136e723f0284b4bf0e16ccf2d5bd93daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1959",
    "kind": "arxiv",
    "version": 2
  }
}