Pith Number

pith:6KULU65W

pith:2026:6KULU65W5JMORRBT4GCCAJMG4C

not attested not anchored not stored refs pending

Constrained homomorphism orders

Jan Hubicka, Jiri Fiala, Yangjing Long

arxiv:2606.09231 v1 · 2026-06-08 · 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{6KULU65W5JMORRBT4GCCAJMG4C}

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	2026-06-09T02:08:08.906917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2a8ba7bb6ea58e8c433e184202586e0a19e178b9eb082cc1e6350db24d826ff

Aliases

arxiv: 2606.09231 · arxiv_version: 2606.09231v1 · doi: 10.48550/arxiv.2606.09231 · pith_short_12: 6KULU65W5JMO · pith_short_16: 6KULU65W5JMORRBT · pith_short_8: 6KULU65W

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/6KULU65W5JMORRBT4GCCAJMG4C \
  | 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: f2a8ba7bb6ea58e8c433e184202586e0a19e178b9eb082cc1e6350db24d826ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb31e1a57500e7314953083fc085df9a775c8b89a160f675aa7cb4d10702e79",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T09:05:10Z",
    "title_canon_sha256": "a883070c9cb8c998086986d394313ab2a1d849343756990175239a1f3de42bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09231",
    "kind": "arxiv",
    "version": 1
  }
}