Pith Number

pith:UG6NM34N

pith:2011:UG6NM34NIRRFB5G5DOHLGQNGNM

not attested not anchored not stored refs pending

Bikei, Involutory Biracks and unoriented link invariants

Sam Nelson, Sinan Aksoy

arxiv:1102.1473 v1 · 2011-02-07 · 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{UG6NM34NIRRFB5G5DOHLGQNGNM}

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	2026-05-18T04:23:34.895807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1bcd66f8d446250f4dd1b8eb341a66b21558d91544ec90ffbbfcef310cc5b08

Aliases

arxiv: 1102.1473 · arxiv_version: 1102.1473v1 · doi: 10.48550/arxiv.1102.1473 · pith_short_12: UG6NM34NIRRF · pith_short_16: UG6NM34NIRRFB5G5 · pith_short_8: UG6NM34N

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/UG6NM34NIRRFB5G5DOHLGQNGNM \
  | 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: a1bcd66f8d446250f4dd1b8eb341a66b21558d91544ec90ffbbfcef310cc5b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45f793bae31b465689e00a3579b7c958f2b43ce0ec5bf5bba9648fb853e9f5f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-07T23:44:21Z",
    "title_canon_sha256": "972aa180b057f544cd59593416e7a94a34301b9ed3f25bae12076c945422f126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1473",
    "kind": "arxiv",
    "version": 1
  }
}