Pith Number

pith:565IYPRA

pith:2026:565IYPRA6JFUG25XB7XXDKWJ6R

not attested not anchored not stored refs pending

On the Erd\H{o}s-Rogers function

Jacques Verstra\"ete, Julian Sahasrabudhe, Robert Morris

arxiv:2607.16118 v1 · 2026-07-17 · 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{565IYPRA6JFUG25XB7XXDKWJ6R}

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	2026-07-20T02:19:34.380981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efba8c3e20f24b436bb70fef71aac9f44e28b45078483f67bb496cdaa5d7ebcf

Aliases

arxiv: 2607.16118 · arxiv_version: 2607.16118v1 · doi: 10.48550/arxiv.2607.16118 · pith_short_12: 565IYPRA6JFU · pith_short_16: 565IYPRA6JFUG25X · pith_short_8: 565IYPRA

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/565IYPRA6JFUG25XB7XXDKWJ6R \
  | 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: efba8c3e20f24b436bb70fef71aac9f44e28b45078483f67bb496cdaa5d7ebcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8585e32efcbb7c529d28bca47c3d31b08bdf4844822d2c1702e1a41aac08ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-17T16:56:28Z",
    "title_canon_sha256": "4c7d93fa366f6b39772a2b6d067cd5f908f64499ff4be6d88f6d2ab91a5d1f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16118",
    "kind": "arxiv",
    "version": 1
  }
}