Pith Number

pith:UCNK3RFP

pith:2024:UCNK3RFPRMGCNQYQ4FLOMJHEWG

not attested not anchored not stored refs pending

Patterns in trees and quantum automorphism groups

F\'elix de la Salle, Julie Capron, Lucas Alger

arxiv:2402.14024 v2 · 2024-02-07 · math.OA · 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{UCNK3RFPRMGCNQYQ4FLOMJHEWG}

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	2026-05-20T02:05:31.504125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09aadc4af8b0c26c310e156e624e4b199ae3a9fee5bce7d275f54ed76c167f6

Aliases

arxiv: 2402.14024 · arxiv_version: 2402.14024v2 · doi: 10.48550/arxiv.2402.14024 · pith_short_12: UCNK3RFPRMGC · pith_short_16: UCNK3RFPRMGCNQYQ · pith_short_8: UCNK3RFP

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/UCNK3RFPRMGCNQYQ4FLOMJHEWG \
  | 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: a09aadc4af8b0c26c310e156e624e4b199ae3a9fee5bce7d275f54ed76c167f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a3738a109fc6f6c808888c51886d0bb4afcbd05a19dce4b325d1213cf52fc5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-02-07T15:52:09Z",
    "title_canon_sha256": "3066b8ab06709f6d99630ac286db13242207e4e0ec33c178ab01d62b2f55727e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14024",
    "kind": "arxiv",
    "version": 2
  }
}