Pith Number

pith:LAXH3XZB

pith:2011:LAXH3XZB2KEWPPPDGU3JTBPTVS

not attested not anchored not stored refs pending

Rooted trees, strong cofinality and ample generics

Maciej Malicki

arxiv:1110.4511 v1 · 2011-10-20 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAXH3XZB2KEWPPPDGU3JTBPTVS}

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	2026-05-18T04:10:36.587498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

582e7ddf21d28967bde335369985f3ac8db78e8270cbc0ebb343c9bba0c8be94

Aliases

arxiv: 1110.4511 · arxiv_version: 1110.4511v1 · doi: 10.48550/arxiv.1110.4511 · pith_short_12: LAXH3XZB2KEW · pith_short_16: LAXH3XZB2KEWPPPD · pith_short_8: LAXH3XZB

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/LAXH3XZB2KEWPPPDGU3JTBPTVS \
  | 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: 582e7ddf21d28967bde335369985f3ac8db78e8270cbc0ebb343c9bba0c8be94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0872d9ec22588249ee1725a291f35e4f5e5b23514e458b2751b863b9421034",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-20T12:44:25Z",
    "title_canon_sha256": "0e8ff871f53c3f53189f8e50f4afb99422295a64bf957bb9db7d14d49f705353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4511",
    "kind": "arxiv",
    "version": 1
  }
}