Pith Number

pith:N3FPTL5D

pith:2025:N3FPTL5D4SSHCT42DKS7AZ6TZ3

not attested not anchored not stored refs pending

A framework for the generalised Erd\H{o}s-Rothschild problem and a resolution of the dichromatic triangle case

Emil Powierski, Katherine Staden, Pranshu Gupta, Yani Pehova

arxiv:2502.12291 v1 · 2025-02-17 · 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{N3FPTL5D4SSHCT42DKS7AZ6TZ3}

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.

Cited by

1 paper in Pith

Entropy Transference for Rainbow-$H$-Free Colourings of Random Graphs

Receipt and verification

First computed	2026-07-05T10:15:53.061865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ecaf9afa3e4a4714f9a1aa5f067d3ceecf70c8ae49328bd89e3e193449d40a6

Aliases

arxiv: 2502.12291 · arxiv_version: 2502.12291v1 · doi: 10.48550/arxiv.2502.12291 · pith_short_12: N3FPTL5D4SSH · pith_short_16: N3FPTL5D4SSHCT42 · pith_short_8: N3FPTL5D

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/N3FPTL5D4SSHCT42DKS7AZ6TZ3 \
  | 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: 6ecaf9afa3e4a4714f9a1aa5f067d3ceecf70c8ae49328bd89e3e193449d40a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9837d2f93c4086710992bfedb7ec4fe8e4c78078b43bc924c53fb24feea799",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-17T20:00:21Z",
    "title_canon_sha256": "c0a7d2fe5b223b05032c828ccf2f780f9ce606702acc4f37952a3ba517850b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.12291",
    "kind": "arxiv",
    "version": 1
  }
}