Pith Number

pith:RKYCGSDA

pith:2026:RKYCGSDA7Z53K2NLM3FUXTIQKX

not attested not anchored not stored refs pending

Edge-regular graphs with non-negative curvature have polynomial growth

Guy Blachar, Herv\'e Pajot, Justin Salez

arxiv:2606.11094 v1 · 2026-06-09 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKYCGSDA7Z53K2NLM3FUXTIQKX}

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	2026-06-10T01:11:09.970168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab0234860fe7bb569ab66cb4bcd1055f88c91455fe388b0cfd3d49508e58deb

Aliases

arxiv: 2606.11094 · arxiv_version: 2606.11094v1 · doi: 10.48550/arxiv.2606.11094 · pith_short_12: RKYCGSDA7Z53 · pith_short_16: RKYCGSDA7Z53K2NL · pith_short_8: RKYCGSDA

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/RKYCGSDA7Z53K2NLM3FUXTIQKX \
  | 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: 8ab0234860fe7bb569ab66cb4bcd1055f88c91455fe388b0cfd3d49508e58deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96cf96e910f22d6905d06c819646d73f15e05785ba2c05f350048ba211397f54",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T16:51:46Z",
    "title_canon_sha256": "2460db10bb16267032448e862c6f453654e10aeb7b38aa26360f87ef577bcd27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11094",
    "kind": "arxiv",
    "version": 1
  }
}