Pith Number

pith:XZ27EXIG

pith:2014:XZ27EXIGGJR4WX36AW4YKDJ5KN

not attested not anchored not stored refs pending

The shadow nature of positive and twisted quandle cocycle invariants of knots

Kokoro Tanaka, Seiichi Kamada, Victoria Lebed (OCAMI)

arxiv:1409.4072 v2 · 2014-09-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ27EXIGGJR4WX36AW4YKDJ5KN}

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	2026-05-18T02:41:03.231955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be75f25d063263cb5f7e05b9850d3d537e613d39331ac2bf50f2ac7fa7627876

Aliases

arxiv: 1409.4072 · arxiv_version: 1409.4072v2 · doi: 10.48550/arxiv.1409.4072 · pith_short_12: XZ27EXIGGJR4 · pith_short_16: XZ27EXIGGJR4WX36 · pith_short_8: XZ27EXIG

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/XZ27EXIGGJR4WX36AW4YKDJ5KN \
  | 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: be75f25d063263cb5f7e05b9850d3d537e613d39331ac2bf50f2ac7fa7627876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e752412155496fa9de4042142e1b0ffc31b04d85eac330c712df4858d91f70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-14T16:12:53Z",
    "title_canon_sha256": "0c428b01a9ed593fcaea35d7c99c258045fe127930e331dbf48eedb84173357e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4072",
    "kind": "arxiv",
    "version": 2
  }
}