Pith Number

pith:CSQFFZTR

pith:2010:CSQFFZTRDP6YCEHQGGGOOIYWA6

not attested not anchored not stored refs pending

Finite generation of lattices on products of trees

Anne Thomas, Kevin Wortman

arxiv:1005.1238 v2 · 2010-05-07 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSQFFZTRDP6YCEHQGGGOOIYWA6}

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	2026-05-18T04:42:13.573419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a052e6711bfd8110f0318ce723160784618718969c8b4a52e21e87ebcba68d

Aliases

arxiv: 1005.1238 · arxiv_version: 1005.1238v2 · doi: 10.48550/arxiv.1005.1238 · pith_short_12: CSQFFZTRDP6Y · pith_short_16: CSQFFZTRDP6YCEHQ · pith_short_8: CSQFFZTR

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/CSQFFZTRDP6YCEHQGGGOOIYWA6 \
  | 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: 14a052e6711bfd8110f0318ce723160784618718969c8b4a52e21e87ebcba68d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f5b1cc2275a4d28eb63622bd35ce8220b8510f04c6b979427e22d50f99294f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-07T15:55:03Z",
    "title_canon_sha256": "32f19409c062d10d28712c96136f4fbee1ff27a8fd69cb62944cc62ee74dae8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1238",
    "kind": "arxiv",
    "version": 2
  }
}