Pith Number

pith:WQUVFX4G

pith:2015:WQUVFX4GFLBQOUICNOP2KZYKTR

not attested not anchored not stored refs pending

Subword counting and the incidence algebra

Anders Claesson

arxiv:1502.03065 v3 · 2015-02-10 · 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{WQUVFX4GFLBQOUICNOP2KZYKTR}

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	2026-05-18T02:25:04.419241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42952df862ac30751026b9fa5670a9c4a79ec3b42b2a5f63bc53f4de7737dcc

Aliases

arxiv: 1502.03065 · arxiv_version: 1502.03065v3 · doi: 10.48550/arxiv.1502.03065 · pith_short_12: WQUVFX4GFLBQ · pith_short_16: WQUVFX4GFLBQOUIC · pith_short_8: WQUVFX4G

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/WQUVFX4GFLBQOUICNOP2KZYKTR \
  | 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: b42952df862ac30751026b9fa5670a9c4a79ec3b42b2a5f63bc53f4de7737dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5357416e0b5bb107c48f22cc140558d693f9922f14416127c87d0dc6418fa905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-10T20:18:21Z",
    "title_canon_sha256": "d31902cb39f74c562fb2522736fdc3a00e788c9363f89d8e14c6efc50d64a64c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03065",
    "kind": "arxiv",
    "version": 3
  }
}