Pith Number

pith:3ACXC66Y

pith:2011:3ACXC66YUD3NAJUTEK7FCVIUZH

not attested not anchored not stored refs pending

Density classification on infinite lattices and trees

Ana Busic, Irene Marcovici, Jean Mairesse, Nazim Fates

arxiv:1111.4582 v1 · 2011-11-19 · math.PR · cs.DM · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ACXC66YUD3NAJUTEK7FCVIUZH}

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	2026-05-18T04:08:03.042792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d805717bd8a0f6d0269322be515514c9d0cd7ef3ffc5d1ef40b9ab7f9ad7edac

Aliases

arxiv: 1111.4582 · arxiv_version: 1111.4582v1 · doi: 10.48550/arxiv.1111.4582 · pith_short_12: 3ACXC66YUD3N · pith_short_16: 3ACXC66YUD3NAJUT · pith_short_8: 3ACXC66Y

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/3ACXC66YUD3NAJUTEK7FCVIUZH \
  | 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: d805717bd8a0f6d0269322be515514c9d0cd7ef3ffc5d1ef40b9ab7f9ad7edac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec0e0f3e79013748366b7548f1b2360297be16db09e65b440a68b7d528fbc1a",
    "cross_cats_sorted": [
      "cs.DM",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-19T21:15:40Z",
    "title_canon_sha256": "1eed4713e5f1a991baf562bc2b15d5980136a0a908a04cee3c1b39cbc9c98fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4582",
    "kind": "arxiv",
    "version": 1
  }
}