Pith Number

pith:ZCVN2PY5

pith:2026:ZCVN2PY5XC7OABJXIK7OS6I3D5

not attested not anchored not stored refs pending

A random version of the Burr-Erd\H{o}s-Spencer theorem

Andrea Freschi, Andrew Treglown, Ryan R. Martin

arxiv:2605.22395 v1 · 2026-05-21 · 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{ZCVN2PY5XC7OABJXIK7OS6I3D5}

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	2026-05-22T01:04:41.399880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8aadd3f1db8bee0053742bee9791b1f4653e4abcf8dd09bb92d26a9f9656ce7

Aliases

arxiv: 2605.22395 · arxiv_version: 2605.22395v1 · doi: 10.48550/arxiv.2605.22395 · pith_short_12: ZCVN2PY5XC7O · pith_short_16: ZCVN2PY5XC7OABJX · pith_short_8: ZCVN2PY5

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/ZCVN2PY5XC7OABJXIK7OS6I3D5 \
  | 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: c8aadd3f1db8bee0053742bee9791b1f4653e4abcf8dd09bb92d26a9f9656ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84504367c44dbdc88b5d1b0a19f9d9a79a3db88bfe85996b48fc1a19ad2e04ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T12:29:05Z",
    "title_canon_sha256": "765b50109351905fd099e038ea5824c57b38bd236a969155d248e709e8bf3c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22395",
    "kind": "arxiv",
    "version": 1
  }
}