Pith Number

pith:W7KFNAPI

pith:2015:W7KFNAPIIE7VE44MVLCHFYHHO4

not attested not anchored not stored refs pending

Abelian logic gates

Alexander E. Holroyd, Lionel Levine, Peter Winkler

arxiv:1511.00422 v2 · 2015-11-02 · cs.DM · cs.FL · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7KFNAPIIE7VE44MVLCHFYHHO4}

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	2026-05-17T23:49:44.560473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d45681e8413f52738caac472e0e77720db8864b153549a0241bdaebb077b27

Aliases

arxiv: 1511.00422 · arxiv_version: 1511.00422v2 · doi: 10.48550/arxiv.1511.00422 · pith_short_12: W7KFNAPIIE7V · pith_short_16: W7KFNAPIIE7VE44M · pith_short_8: W7KFNAPI

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/W7KFNAPIIE7VE44MVLCHFYHHO4 \
  | 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: b7d45681e8413f52738caac472e0e77720db8864b153549a0241bdaebb077b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d106f7835001c00ad225ce3a7b8b081d1934a802e3cd8a7fe154ba6174dddc",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-11-02T09:38:49Z",
    "title_canon_sha256": "f0bbc7c4d5495afde228ffa88a0b000e94e656c4652b669ba05e1856d922ef6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00422",
    "kind": "arxiv",
    "version": 2
  }
}