Pith Number

pith:G47IPEK6

pith:2010:G47IPEK6F3G4CFKVRMKUTDHUFL

not attested not anchored not stored refs pending

The Tutte Polynomial of the Schreier graphs of the Grigorchuk group and the Basilica group

Alfredo Donno, Donatella Iacono, Tullio Ceccherini-Silberstein

arxiv:1010.2902 v1 · 2010-10-14 · 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{G47IPEK6F3G4CFKVRMKUTDHUFL}

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	2026-05-18T01:20:54.214221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

373e87915e2ecdc115558b15498cf42aeb3cc812666eb020338de1f4603666bb

Aliases

arxiv: 1010.2902 · arxiv_version: 1010.2902v1 · doi: 10.48550/arxiv.1010.2902 · pith_short_12: G47IPEK6F3G4 · pith_short_16: G47IPEK6F3G4CFKV · pith_short_8: G47IPEK6

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/G47IPEK6F3G4CFKVRMKUTDHUFL \
  | 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: 373e87915e2ecdc115558b15498cf42aeb3cc812666eb020338de1f4603666bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7a54639b16e775ca21ca28f6bb3ca02736827d93859239ddc65a879738b9f22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-14T13:19:41Z",
    "title_canon_sha256": "0e1ecce56a39e86637fde887d5d5c3f50e668c78c1c3c5f378ab19adf947169d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2902",
    "kind": "arxiv",
    "version": 1
  }
}