Pith Number

pith:ZHFGAXTQ

pith:2017:ZHFGAXTQ3WJ3TRCACS7NMOUY6N

not attested not anchored not stored refs pending

On the rack homology of graphic quandles

J\'ozef H. Przytycki, Sujoy Mukherjee

arxiv:1712.01901 v1 · 2017-12-05 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHFGAXTQ3WJ3TRCACS7NMOUY6N}

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	2026-05-18T00:28:39.767712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ca605e70dd93b9c44014bed63a98f35cca8e9c4b30fda2f8f51ca67f20a049

Aliases

arxiv: 1712.01901 · arxiv_version: 1712.01901v1 · doi: 10.48550/arxiv.1712.01901 · pith_short_12: ZHFGAXTQ3WJ3 · pith_short_16: ZHFGAXTQ3WJ3TRCA · pith_short_8: ZHFGAXTQ

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/ZHFGAXTQ3WJ3TRCACS7NMOUY6N \
  | 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: c9ca605e70dd93b9c44014bed63a98f35cca8e9c4b30fda2f8f51ca67f20a049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00e496ab9270c731432796b8361fcd0962517474dd4a4d03ea8252dc7dd2a086",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-05T20:13:21Z",
    "title_canon_sha256": "16fe0a7cabe6d98418299a27c39dab695da1ce352045191c437d9c942e89b66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01901",
    "kind": "arxiv",
    "version": 1
  }
}