Pith Number

pith:CTLIIONW

pith:2011:CTLIIONWSU567B7NHTVK3Y7I54

not attested not anchored not stored refs pending

Polynomial knot and link invariants from the virtual biquandle

Alissa S. Crans, Allison Henrich, Sam Nelson

arxiv:1110.1371 v3 · 2011-10-06 · 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{CTLIIONWSU567B7NHTVK3Y7I54}

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	2026-05-18T03:12:09.196048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d68439b6953bef87ed3ceaade3e8ef11cdcd3f5de4df89ea0a7c6056cb10ff

Aliases

arxiv: 1110.1371 · arxiv_version: 1110.1371v3 · doi: 10.48550/arxiv.1110.1371 · pith_short_12: CTLIIONWSU56 · pith_short_16: CTLIIONWSU567B7N · pith_short_8: CTLIIONW

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/CTLIIONWSU567B7NHTVK3Y7I54 \
  | 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: 14d68439b6953bef87ed3ceaade3e8ef11cdcd3f5de4df89ea0a7c6056cb10ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e4eee51d32de71dd372a7e644e11777de22fb13b06eab2b2d5484c94178139",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-06T19:51:08Z",
    "title_canon_sha256": "0a7910de1e74f30dd63de137d2c1527013eb3da94d6cbc0de85778f7259c745d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1371",
    "kind": "arxiv",
    "version": 3
  }
}