Pith Number

pith:BFULX3R2

pith:2011:BFULX3R2WIWYZKIBZOYCFKT2OT

not attested not anchored not stored refs pending

Trees, unsplittability, property (FA) and the likes

Maciej Malicki

arxiv:1105.1224 v2 · 2011-05-06 · 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{BFULX3R2WIWYZKIBZOYCFKT2OT}

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	2026-05-18T04:10:36.419393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0968bbee3ab22d8ca901cbb022aa7a74e53f0b58b88b484e58ab7cd60ea364b2

Aliases

arxiv: 1105.1224 · arxiv_version: 1105.1224v2 · doi: 10.48550/arxiv.1105.1224 · pith_short_12: BFULX3R2WIWY · pith_short_16: BFULX3R2WIWYZKIB · pith_short_8: BFULX3R2

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/BFULX3R2WIWYZKIBZOYCFKT2OT \
  | 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: 0968bbee3ab22d8ca901cbb022aa7a74e53f0b58b88b484e58ab7cd60ea364b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6b0bd9def082df84b15f11e52db501601d7b398cadbd4b125b2d2cff9b91f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-06T05:16:20Z",
    "title_canon_sha256": "43744b8854cec0e8cd5fb5a78cfe955b77422336659482579c674a79f158e094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1224",
    "kind": "arxiv",
    "version": 2
  }
}