Pith Number

pith:THZ2GKCT

pith:2012:THZ2GKCTYFTLUIQHU27CAKBV3V

not attested not anchored not stored refs pending

Quasi-triviality of quandles for link-homotopy

Ayumu Inoue

arxiv:1205.5891 v1 · 2012-05-26 · 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{THZ2GKCTYFTLUIQHU27CAKBV3V}

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	2026-05-18T03:54:49.714882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f3a32853c166ba2207a6be202835dd6419d7c288c5c6df9f0f0b623e5dbb4e

Aliases

arxiv: 1205.5891 · arxiv_version: 1205.5891v1 · doi: 10.48550/arxiv.1205.5891 · pith_short_12: THZ2GKCTYFTL · pith_short_16: THZ2GKCTYFTLUIQH · pith_short_8: THZ2GKCT

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/THZ2GKCTYFTLUIQHU27CAKBV3V \
  | 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: 99f3a32853c166ba2207a6be202835dd6419d7c288c5c6df9f0f0b623e5dbb4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f7c1dc716eddab43f8f9bc9bc51848b536a91f51f1772919bbc79c538743fbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-26T16:07:46Z",
    "title_canon_sha256": "5fe31a36332dd44f2289beafb73fc1e8f9a27f840f802b6877464fcd3e486414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5891",
    "kind": "arxiv",
    "version": 1
  }
}