Pith Number

pith:JG4TXANE

pith:2024:JG4TXANE53XUZAIJ37QF22FOMH

not attested not anchored not stored refs pending

Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorem for the generalized triangle

Jian Wang, Sijie Ren, Xizhi Liu

arxiv:2410.20832 v4 · 2024-10-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JG4TXANE53XUZAIJ37QF22FOMH}

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	2026-07-05T09:28:56.935453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b93b81a4eeef4c8109dfe05d68ae61e95e23b874748c9d9e554fafa3b4ac7c

Aliases

arxiv: 2410.20832 · arxiv_version: 2410.20832v4 · doi: 10.48550/arxiv.2410.20832 · pith_short_12: JG4TXANE53XU · pith_short_16: JG4TXANE53XUZAIJ · pith_short_8: JG4TXANE

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/JG4TXANE53XUZAIJ37QF22FOMH \
  | 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: 49b93b81a4eeef4c8109dfe05d68ae61e95e23b874748c9d9e554fafa3b4ac7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b56fbd719b84af201ddbc4296d9a49daafd6441b93b673d79d0853651a779bdf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-28T08:29:41Z",
    "title_canon_sha256": "a51a6065f33b1fcd5195fa5818f9ba84cd821e3fcab4806f458e12227825f78d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.20832",
    "kind": "arxiv",
    "version": 4
  }
}