Pith Number

pith:L5M5IRJT

pith:2017:L5M5IRJTEVKSJO2ZEQVHGZOJL7

not attested not anchored not stored refs pending

Quasi-trivial Quandles and Biquandles, Cocycle Enhancements and Link-Homotopy of Pretzel links

Minghui Liu, Mohamed Elhamdadi, Sam Nelson

arxiv:1704.01224 v3 · 2017-04-05 · 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{L5M5IRJTEVKSJO2ZEQVHGZOJL7}

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	2026-05-18T00:14:29.021853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f59d44533255524bb59242a7365c95fe0d839b62ba1066f540eda5b34027d0c

Aliases

arxiv: 1704.01224 · arxiv_version: 1704.01224v3 · doi: 10.48550/arxiv.1704.01224 · pith_short_12: L5M5IRJTEVKS · pith_short_16: L5M5IRJTEVKSJO2Z · pith_short_8: L5M5IRJT

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/L5M5IRJTEVKSJO2ZEQVHGZOJL7 \
  | 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: 5f59d44533255524bb59242a7365c95fe0d839b62ba1066f540eda5b34027d0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583928e061d56bd88390d9a60d3daf6304cd8ed964013fde7108b9490f059b02",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-05T00:13:03Z",
    "title_canon_sha256": "47c1097b6e5f7d77e7c78ec40d84cb4b7787f1403c8c2edd07bb63070d068815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01224",
    "kind": "arxiv",
    "version": 3
  }
}