Pith Number

pith:JHBLZ4A2

pith:2025:JHBLZ4A25UCPT7HJM32K5G7HFN

not attested not anchored not stored refs pending

Polynomial-to-exponential transition in 3-uniform Ramsey numbers

Hung-Hsun Hans Yu, Ruben Ascoli, Xiaoyu He

arxiv:2507.09434 v1 · 2025-07-13 · 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{JHBLZ4A25UCPT7HJM32K5G7HFN}

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	2026-07-05T11:36:09.012775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49c2bcf01aed04f9fce966f4ae9be72b450386e46cfc47d8202560898cd0983e

Aliases

arxiv: 2507.09434 · arxiv_version: 2507.09434v1 · doi: 10.48550/arxiv.2507.09434 · pith_short_12: JHBLZ4A25UCP · pith_short_16: JHBLZ4A25UCPT7HJ · pith_short_8: JHBLZ4A2

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/JHBLZ4A25UCPT7HJM32K5G7HFN \
  | 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: 49c2bcf01aed04f9fce966f4ae9be72b450386e46cfc47d8202560898cd0983e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822e95c7c0451c6da8ec4e449b96592103ae1c04b2b3005f856a753c1f1479f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-13T00:11:21Z",
    "title_canon_sha256": "34103446dc5bed6fbe4d1b0da2b001fa6915ccdfc0b8dbd852dd7b67f7e33244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09434",
    "kind": "arxiv",
    "version": 1
  }
}