Pith Number

pith:WC5K2H3Z

pith:2008:WC5K2H3ZSQPTRQ5F7PUI343KYQ

not attested not anchored not stored refs pending

On rack polynomials

Sam Nelson, Tim Carrell

arxiv:0809.5075 v1 · 2008-09-29 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WC5K2H3ZSQPTRQ5F7PUI343KYQ}

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	2026-05-17T23:51:35.168254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0baad1f79941f38c3a5fbe88df36ac42a63ba05ec41471167c1e63e529b533e

Aliases

arxiv: 0809.5075 · arxiv_version: 0809.5075v1 · doi: 10.48550/arxiv.0809.5075 · pith_short_12: WC5K2H3ZSQPT · pith_short_16: WC5K2H3ZSQPTRQ5F · pith_short_8: WC5K2H3Z

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/WC5K2H3ZSQPTRQ5F7PUI343KYQ \
  | 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: b0baad1f79941f38c3a5fbe88df36ac42a63ba05ec41471167c1e63e529b533e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1330a8bdf806af3f61d44a2d6320a4816f7767d3056aa9db95d70085dd7ab7c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-09-29T21:10:57Z",
    "title_canon_sha256": "0fa1dfc97bd5c0eb3144602b09abd78dce94250dc353d834ad95d32db865a63c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.5075",
    "kind": "arxiv",
    "version": 1
  }
}