Pith Number

pith:J3WXLJPZ

pith:2011:J3WXLJPZT2YQZWXTUXRPMMFYIA

not attested not anchored not stored refs pending

Bipartite graphs and combinatorial adjacency

Sebastian Baader

arxiv:1111.3747 v1 · 2011-11-16 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3WXLJPZT2YQZWXTUXRPMMFYIA}

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	2026-05-18T04:08:13.138425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eed75a5f99eb10cdaf3a5e2f630b840319bd51f3ee0a96f26208fe107c39532

Aliases

arxiv: 1111.3747 · arxiv_version: 1111.3747v1 · doi: 10.48550/arxiv.1111.3747 · pith_short_12: J3WXLJPZT2YQ · pith_short_16: J3WXLJPZT2YQZWXT · pith_short_8: J3WXLJPZ

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/J3WXLJPZT2YQZWXTUXRPMMFYIA \
  | 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: 4eed75a5f99eb10cdaf3a5e2f630b840319bd51f3ee0a96f26208fe107c39532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f1b9d537eec08d751e88e46676eec21e69b88a66282688dbee8f7021965c083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-16T10:06:01Z",
    "title_canon_sha256": "609b60e9582cb0a13867c82806db9b331171b93f348783f56f8d426bd100187e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3747",
    "kind": "arxiv",
    "version": 1
  }
}