Pith Number

pith:IP4QWNVT

pith:2012:IP4QWNVTORQJWBD5GKX6G57YJH

not attested not anchored not stored refs pending

Birack Dynamical Cocycles and Homomorphism Invariants

Emily Watterberg, Sam Nelson

arxiv:1205.4347 v1 · 2012-05-19 · 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{IP4QWNVTORQJWBD5GKX6G57YJH}

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	2026-05-18T03:55:13.398755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f90b36b374609b047d32afe377f849e2262cda519b37e31969c9fadcec39f8

Aliases

arxiv: 1205.4347 · arxiv_version: 1205.4347v1 · doi: 10.48550/arxiv.1205.4347 · pith_short_12: IP4QWNVTORQJ · pith_short_16: IP4QWNVTORQJWBD5 · pith_short_8: IP4QWNVT

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/IP4QWNVTORQJWBD5GKX6G57YJH \
  | 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: 43f90b36b374609b047d32afe377f849e2262cda519b37e31969c9fadcec39f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64834d5d137fb71a9dece6faf42001e1a16ae4c563f448b275d961df0815a444",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-19T17:07:01Z",
    "title_canon_sha256": "1716702be15bfa9f0e439bc742ee43011c724e2461c3b5f2de5ffda4eb67eb35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4347",
    "kind": "arxiv",
    "version": 1
  }
}