Pith Number

pith:UBZATLOY

pith:2025:UBZATLOY36ABZQMEA6HIWAYIAU

not attested not anchored not stored refs pending

Rainbow Erd\H{o}s-S\'os Conjectures

Dylan King, Nicholas Crawford, Sam Spiro

arxiv:2502.00135 v1 · 2025-01-31 · 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{UBZATLOY36ABZQMEA6HIWAYIAU}

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	2026-07-05T10:08:03.420460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07209add8df801cc184078e8b030805290c2a65584db4395ca5f573b7835551

Aliases

arxiv: 2502.00135 · arxiv_version: 2502.00135v1 · doi: 10.48550/arxiv.2502.00135 · pith_short_12: UBZATLOY36AB · pith_short_16: UBZATLOY36ABZQME · pith_short_8: UBZATLOY

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/UBZATLOY36ABZQMEA6HIWAYIAU \
  | 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: a07209add8df801cc184078e8b030805290c2a65584db4395ca5f573b7835551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de5fc64467daa1cd1f6951565452b587b0ab2ed67acf9c4b66b6aa649e558a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-31T19:40:12Z",
    "title_canon_sha256": "a08209a3f43f536582d45c9d0288e3e0f37c8927e502e31dad8dde273b4ba885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00135",
    "kind": "arxiv",
    "version": 1
  }
}