Pith Number

pith:IVHCRMZK

pith:2019:IVHCRMZKZMEB6CGTD7OYNWTFKA

not attested not anchored not stored refs pending

A note on pseudorandom Ramsey graphs

Dhruv Mubayi, Jacques Verstraete

arxiv:1909.01461 v2 · 2019-09-03 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVHCRMZKZMEB6CGTD7OYNWTFKA}

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	2026-07-05T00:07:52.951415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454e28b32acb081f08d31fdd86da65503b19c8854ae713fe81f39661e57117a8

Aliases

arxiv: 1909.01461 · arxiv_version: 1909.01461v2 · doi: 10.48550/arxiv.1909.01461 · pith_short_12: IVHCRMZKZMEB · pith_short_16: IVHCRMZKZMEB6CGT · pith_short_8: IVHCRMZK

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/IVHCRMZKZMEB6CGTD7OYNWTFKA \
  | 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: 454e28b32acb081f08d31fdd86da65503b19c8854ae713fe81f39661e57117a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a530e6d260b2922e7bc21a3e114ab01fe92c1fd649527689fb1c105dee966655",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-03T21:20:38Z",
    "title_canon_sha256": "e0969201d6f216f4634561943c03166d835793bbb0f540d2f1f2bbc573d30192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01461",
    "kind": "arxiv",
    "version": 2
  }
}