Pith Number

pith:HVYG3VD4

pith:2019:HVYG3VD42BXU2ZANEC63W4YKX2

not attested not anchored not stored refs pending

A note on the Brown--Erd\H{o}s--S\'os conjecture in groups

Jason Long

arxiv:1902.07693 v3 · 2019-02-20 · 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{HVYG3VD42BXU2ZANEC63W4YKX2}

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	2026-05-17T23:49:01.865056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d706dd47cd06f4d640d20bdbb730abe9e241ca3816966f4bc68fdf3f9a0008b

Aliases

arxiv: 1902.07693 · arxiv_version: 1902.07693v3 · doi: 10.48550/arxiv.1902.07693 · pith_short_12: HVYG3VD42BXU · pith_short_16: HVYG3VD42BXU2ZAN · pith_short_8: HVYG3VD4

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/HVYG3VD42BXU2ZANEC63W4YKX2 \
  | 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: 3d706dd47cd06f4d640d20bdbb730abe9e241ca3816966f4bc68fdf3f9a0008b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56431514320daec1f7bf8b6cc9f9019ba2122c9ee5c8403ce1a81a5aa203c0f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-20T18:44:16Z",
    "title_canon_sha256": "3faea42721cf117deee8f9cffd89052367681851073683630556242ba0e11387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07693",
    "kind": "arxiv",
    "version": 3
  }
}