Pith Number

pith:W3H7YNLT

pith:2013:W3H7YNLTTQ4Z6ZUXULA7NWR6UH

not attested not anchored not stored refs pending

A cellular basis for the generalized Temperly-Lieb Algebra and Mahler Measure

Robert G. Todd, Xuanting Cai

arxiv:1306.2585 v4 · 2013-06-11 · 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{W3H7YNLTTQ4Z6ZUXULA7NWR6UH}

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	2026-05-18T03:07:54.644414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6cffc35739c399f6697a2c1f6da3ea1c83aa451806e9ae11919245cac074467

Aliases

arxiv: 1306.2585 · arxiv_version: 1306.2585v4 · doi: 10.48550/arxiv.1306.2585 · pith_short_12: W3H7YNLTTQ4Z · pith_short_16: W3H7YNLTTQ4Z6ZUX · pith_short_8: W3H7YNLT

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/W3H7YNLTTQ4Z6ZUXULA7NWR6UH \
  | 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: b6cffc35739c399f6697a2c1f6da3ea1c83aa451806e9ae11919245cac074467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577c9f4753f5bd716ba0a83a2341fbe2850967b95545c162236fee1f33a6e76c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-06-11T17:10:28Z",
    "title_canon_sha256": "3b48854af2d46bc30b7c6bbcd01f3c075e6755c22dd5b227884b8d9aed9879ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2585",
    "kind": "arxiv",
    "version": 4
  }
}