Pith Number

pith:UGZKTSIG

pith:2012:UGZKTSIGGX3X7VHFJKC5KYIF5X

not attested not anchored not stored refs pending

Polynomial Birack Modules

Evan Cody, Sam Nelson

arxiv:1208.3441 v2 · 2012-08-16 · 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{UGZKTSIGGX3X7VHFJKC5KYIF5X}

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	2026-05-18T02:50:01.051878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1b2a9c90635f77fd4e54a85d56105edfb508ab7ff02ce7393c6d7a6ae0468d5

Aliases

arxiv: 1208.3441 · arxiv_version: 1208.3441v2 · doi: 10.48550/arxiv.1208.3441 · pith_short_12: UGZKTSIGGX3X · pith_short_16: UGZKTSIGGX3X7VHF · pith_short_8: UGZKTSIG

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/UGZKTSIGGX3X7VHFJKC5KYIF5X \
  | 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: a1b2a9c90635f77fd4e54a85d56105edfb508ab7ff02ce7393c6d7a6ae0468d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "786b4741ea0621cb816b61aac9668aab4e433bf7e19c8debf431902ee393c71b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-16T18:57:07Z",
    "title_canon_sha256": "1065ae5b7f53a4d4be3b26a31b9cbe20bb97a71579e585239002c36fbc8d1fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3441",
    "kind": "arxiv",
    "version": 2
  }
}