Pith Number

pith:SBLNSFBW

pith:2019:SBLNSFBWY7AQY4LISD6RWJTHZY

not attested not anchored not stored refs pending

The Brown-Erd\H{o}s-S\'os Conjecture in finite abelian groups

Ching Wong, Jozsef Solymosi

arxiv:1901.09871 v1 · 2019-01-28 · 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{SBLNSFBWY7AQY4LISD6RWJTHZY}

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	2026-05-17T23:55:23.624203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9056d91436c7c10c716890fd1b2667ce01eea5155beb1f85075e67f7fd9f7d9a

Aliases

arxiv: 1901.09871 · arxiv_version: 1901.09871v1 · doi: 10.48550/arxiv.1901.09871 · pith_short_12: SBLNSFBWY7AQ · pith_short_16: SBLNSFBWY7AQY4LI · pith_short_8: SBLNSFBW

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/SBLNSFBWY7AQY4LISD6RWJTHZY \
  | 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: 9056d91436c7c10c716890fd1b2667ce01eea5155beb1f85075e67f7fd9f7d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b4f669e75f23a28f50c0fdfad768703558a19462a24da2db8010c68716186e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-28T18:25:49Z",
    "title_canon_sha256": "1e4734f859eb607445e70d144bf8194b9d47a9b79dea860e7d65bd128ee87d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09871",
    "kind": "arxiv",
    "version": 1
  }
}