Pith Number

pith:PQFKTFOM

pith:2023:PQFKTFOMZPHFGFNU3RIPXKP5CU

not attested not anchored not stored refs pending

Multi-groups

Tatyana A. Kozlovskaya

arxiv:2312.15052 v1 · 2023-12-22 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQFKTFOMZPHFGFNU3RIPXKP5CU}

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	2026-07-05T07:27:30.316278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0aa995cccbce5315b4dc50fba9fd150d3cb00650d78687e93fb85550f3b934

Aliases

arxiv: 2312.15052 · arxiv_version: 2312.15052v1 · doi: 10.48550/arxiv.2312.15052 · pith_short_12: PQFKTFOMZPHF · pith_short_16: PQFKTFOMZPHFGFNU · pith_short_8: PQFKTFOM

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/PQFKTFOMZPHFGFNU3RIPXKP5CU \
  | 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: 7c0aa995cccbce5315b4dc50fba9fd150d3cb00650d78687e93fb85550f3b934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0636417d3967971a3f733eaa5f6f5a5c0a1db85ba9b3fc84c6325cb75383ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-12-22T20:32:22Z",
    "title_canon_sha256": "f21469854d688fa211b19d15aa3cf4ec0806c0809e071fd7e622f54f040926d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15052",
    "kind": "arxiv",
    "version": 1
  }
}