Pith Number

pith:FO6WXVYE

pith:2007:FO6WXVYE6M5DZYW7KIK2KTT3ZS

not attested not anchored not stored refs pending

Monochromatic triangles in two-colored plane

Jan Kyncl, Rudolf Stolar, Tomas Valla, Vit Jelinek

arxiv:math/0701940 v1 · 2007-01-31 · 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{FO6WXVYE6M5DZYW7KIK2KTT3ZS}

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	2026-05-18T04:23:21.404359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bbd6bd704f33a3ce2df5215a54e7bcc90b9f637c62ff8d8f5a920220af55463

Aliases

arxiv: math/0701940 · arxiv_version: math/0701940v1 · doi: 10.48550/arxiv.math/0701940 · pith_short_12: FO6WXVYE6M5D · pith_short_16: FO6WXVYE6M5DZYW7 · pith_short_8: FO6WXVYE

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/FO6WXVYE6M5DZYW7KIK2KTT3ZS \
  | 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: 2bbd6bd704f33a3ce2df5215a54e7bcc90b9f637c62ff8d8f5a920220af55463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08dc52c9d509d20a198824d07e709b1d9d58e062891143b6f4ed9812d0af38c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-01-31T21:00:11Z",
    "title_canon_sha256": "38657af23feaddf3d3f6622216c3556fcf289f81421193e2953aa4de1065861f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701940",
    "kind": "arxiv",
    "version": 1
  }
}