Pith Number

pith:GHXSF4CL

pith:2013:GHXSF4CLD3RSM5JE2QNDKJQAR4

not attested not anchored not stored refs pending

Star-regularity and regular completions

Marino Gran, Zurab Janelidze

arxiv:1312.7765 v1 · 2013-12-30 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHXSF4CLD3RSM5JE2QNDKJQAR4}

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	2026-05-18T02:53:29.784456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ef22f04b1ee3267524d41a3526008f22b3def8e37eb99459c531538ddcf24b

Aliases

arxiv: 1312.7765 · arxiv_version: 1312.7765v1 · doi: 10.48550/arxiv.1312.7765 · pith_short_12: GHXSF4CLD3RS · pith_short_16: GHXSF4CLD3RSM5JE · pith_short_8: GHXSF4CL

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/GHXSF4CLD3RSM5JE2QNDKJQAR4 \
  | 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: 31ef22f04b1ee3267524d41a3526008f22b3def8e37eb99459c531538ddcf24b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271e585cde9c1f131bd3f52d977ddbf5d1f54aba99ff0dde0b5ae360b4248f1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-12-30T16:24:58Z",
    "title_canon_sha256": "edbe192b173964e72940a4e227b022634ff4f403014e90a4f6b0c0824251a332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7765",
    "kind": "arxiv",
    "version": 1
  }
}