Pith Number

pith:MCVP7MZ4

pith:2021:MCVP7MZ4CCI2A7TUCLQOF3GKOY

not attested not anchored not stored refs pending

Piercing the chessboard

D\'aniel Varga, Gergely Ambrus, Imre B\'ar\'any, P\'eter Frankl

arxiv:2111.09702 v3 · 2021-11-18 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCVP7MZ4CCI2A7TUCLQOF3GKOY}

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	2026-07-05T06:35:22.900122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60aaffb33c1091a07e7412e0e2ecca7634e116ec9909adc586e22b00a95cc8c7

Aliases

arxiv: 2111.09702 · arxiv_version: 2111.09702v3 · doi: 10.48550/arxiv.2111.09702 · pith_short_12: MCVP7MZ4CCI2 · pith_short_16: MCVP7MZ4CCI2A7TU · pith_short_8: MCVP7MZ4

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/MCVP7MZ4CCI2A7TUCLQOF3GKOY \
  | 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: 60aaffb33c1091a07e7412e0e2ecca7634e116ec9909adc586e22b00a95cc8c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ad990fba8d4c4a6c25ce0e0671067f55cb60a239a099ed331cf80862124d67",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-11-18T14:06:43Z",
    "title_canon_sha256": "4ec30e73455d23907a8e1a7a06e6a82dd36aa5c4ac293a6f4bee52bccf8604fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09702",
    "kind": "arxiv",
    "version": 3
  }
}