Pith Number

pith:F5ICQQEP

pith:2025:F5ICQQEPIRHTG44C6DKHAMUYLY

not attested not anchored not stored refs pending

Defective coloring of blowups

Raphael Steiner, Sergey Norin

arxiv:2504.01548 v1 · 2025-04-02 · 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{F5ICQQEPIRHTG44C6DKHAMUYLY}

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	2026-07-05T10:43:17.059066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5028408f444f337382f0d47032985e3ae82af79e4f611a218f7777ed4f0a19

Aliases

arxiv: 2504.01548 · arxiv_version: 2504.01548v1 · doi: 10.48550/arxiv.2504.01548 · pith_short_12: F5ICQQEPIRHT · pith_short_16: F5ICQQEPIRHTG44C · pith_short_8: F5ICQQEP

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/F5ICQQEPIRHTG44C6DKHAMUYLY \
  | 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: 2f5028408f444f337382f0d47032985e3ae82af79e4f611a218f7777ed4f0a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21eeb227fffcb888467f48ac029777a7b98e4982606b0c314c27cf731ba353dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-02T09:44:52Z",
    "title_canon_sha256": "72022be91883526abec6218c57e08d827a0d69133ca7744f16ab4c9f018c465e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.01548",
    "kind": "arxiv",
    "version": 1
  }
}