Pith Number

pith:PTOGQJBC

pith:2025:PTOGQJBC25LK3WHSO45IRQJCPK

not attested not anchored not stored refs pending

Ternary relations and their polytopes

Aleksei Lavrov

arxiv:2509.06811 v1 · 2025-09-08 · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTOGQJBC25LK3WHSO45IRQJCPK}

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	2026-07-05T12:06:53.417629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdc682422d756add8f2773a88c1227aabf4d075a46ae6e37b5224f3c3259eb0

Aliases

arxiv: 2509.06811 · arxiv_version: 2509.06811v1 · doi: 10.48550/arxiv.2509.06811 · pith_short_12: PTOGQJBC25LK · pith_short_16: PTOGQJBC25LK3WHS · pith_short_8: PTOGQJBC

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/PTOGQJBC25LK3WHSO45IRQJCPK \
  | 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: 7cdc682422d756add8f2773a88c1227aabf4d075a46ae6e37b5224f3c3259eb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03510cb01d25deff7b207e2167197e64ca6f679ec6403531a746ca76debd6a63",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-08T15:43:56Z",
    "title_canon_sha256": "2f8fdd4027377ee670353330a18ef9ec4e20de659c56307b51f12411233d6d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06811",
    "kind": "arxiv",
    "version": 1
  }
}