Pith Number

pith:OKFCI4AW

pith:2014:OKFCI4AWMOCVF2OPM62OM4V6TG

not attested not anchored not stored refs pending

Quandle coloring and cocycle invariants of composite knots and abelian extensions

L. Vendramin, M. Saito, W. Edwin Clark

arxiv:1407.5803 v4 · 2014-07-22 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T01:12:38.197083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

728a247016638552e9cf67b4e672be99b51fe39ca0abaa0910bd74dfbe056b2d

Aliases

arxiv: 1407.5803 · arxiv_version: 1407.5803v4 · doi: 10.48550/arxiv.1407.5803 · pith_short_12: OKFCI4AWMOCV · pith_short_16: OKFCI4AWMOCVF2OP · pith_short_8: OKFCI4AW

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/OKFCI4AWMOCVF2OPM62OM4V6TG \
  | 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: 728a247016638552e9cf67b4e672be99b51fe39ca0abaa0910bd74dfbe056b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48668c70d53c4e91b5276bbc5d838b73a37521c6fd060149938e8524ce07a728",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-22T09:53:27Z",
    "title_canon_sha256": "83ebdd1adda05700200ebfed7b2eb034d1eac7e67b6d31c472f1dea70a727886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5803",
    "kind": "arxiv",
    "version": 4
  }
}