Pith Number

pith:62WPY6QD

pith:2011:62WPY6QDINWHFHTZZMS6YJLRUH

not attested not anchored not stored refs pending

Birack modules and their link invariants

Regina Bauernschmidt, Sam Nelson

arxiv:1103.0301 v2 · 2011-03-01 · 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{62WPY6QDINWHFHTZZMS6YJLRUH}

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	2026-05-18T03:38:34.588724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6acfc7a03436c729e79cb25ec2571a1f54a86aabdaeba0b90cbf251af470a1a

Aliases

arxiv: 1103.0301 · arxiv_version: 1103.0301v2 · doi: 10.48550/arxiv.1103.0301 · pith_short_12: 62WPY6QDINWH · pith_short_16: 62WPY6QDINWHFHTZ · pith_short_8: 62WPY6QD

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/62WPY6QDINWHFHTZZMS6YJLRUH \
  | 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: f6acfc7a03436c729e79cb25ec2571a1f54a86aabdaeba0b90cbf251af470a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d020cb1c92c5694521e4a2ba0843b8eab6332ed569121f92bb1b96279ae66a9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-01T22:10:23Z",
    "title_canon_sha256": "d0fd3a140a4bbad2ad2260b6babfc75ef819509fe9a6b1058d224f3ef7ae1ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0301",
    "kind": "arxiv",
    "version": 2
  }
}