Pith Number

pith:JEM3CEZK

pith:2018:JEM3CEZKFE4673E2FUPQKQXRSM

not attested not anchored not stored refs pending

Anti-van der Waerden Numbers of Graph Products

Alex Schulte, Hunter Rehm, Nathan Warnberg

arxiv:1805.02715 v1 · 2018-05-07 · 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{JEM3CEZKFE4673E2FUPQKQXRSM}

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	2026-05-18T00:16:35.963872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4919b1132a2939efec9a2d1f0542f19305a19d616e47f59d483ca8c01afdd1fd

Aliases

arxiv: 1805.02715 · arxiv_version: 1805.02715v1 · doi: 10.48550/arxiv.1805.02715 · pith_short_12: JEM3CEZKFE46 · pith_short_16: JEM3CEZKFE4673E2 · pith_short_8: JEM3CEZK

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/JEM3CEZKFE4673E2FUPQKQXRSM \
  | 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: 4919b1132a2939efec9a2d1f0542f19305a19d616e47f59d483ca8c01afdd1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2a0c6781f184619329e7c2b93a3d8627e57793ba2897a6fe8e3f88544e4fa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-07T19:42:57Z",
    "title_canon_sha256": "5a84bc50042777cdb6314aeba29814e75f7fa14518ae42d9c4bee607d9165251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02715",
    "kind": "arxiv",
    "version": 1
  }
}