Pith Number

pith:PGK3PS3I

pith:2013:PGK3PS3IFQEML6TJ2JFTU4UAPN

not attested not anchored not stored refs pending

A problem of Erdos and Sos on 3-graphs

Daniel Kral, Jan Volec, Roman Glebov

arxiv:1303.7372 v2 · 2013-03-29 · 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{PGK3PS3IFQEML6TJ2JFTU4UAPN}

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	2026-05-18T02:42:29.060193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7995b7cb682c08c5fa69d24b3a72807b6020f65e427d91984819220e6cfdb74c

Aliases

arxiv: 1303.7372 · arxiv_version: 1303.7372v2 · doi: 10.48550/arxiv.1303.7372 · pith_short_12: PGK3PS3IFQEM · pith_short_16: PGK3PS3IFQEML6TJ · pith_short_8: PGK3PS3I

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/PGK3PS3IFQEML6TJ2JFTU4UAPN \
  | 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: 7995b7cb682c08c5fa69d24b3a72807b6020f65e427d91984819220e6cfdb74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ea950050b33559ec62f101cbfdbe8994213f8ac8894dcb079fa7a0709f1861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-29T12:17:01Z",
    "title_canon_sha256": "82bc2ab99f70d617bf59ad2e2021bff91096cbe5e894b61103340180dc113140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7372",
    "kind": "arxiv",
    "version": 2
  }
}