Pith Number

pith:4WJDBP5B

pith:2015:4WJDBP5BZVTSZBHQVSZHHA7DZ7

not attested not anchored not stored refs pending

Morphisms, Symbolic sequences, and their Standard Forms

F. Michel Dekking

arxiv:1509.00260 v2 · 2015-09-01 · math.CO · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WJDBP5BZVTSZBHQVSZHHA7DZ7}

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	2026-05-18T01:22:57.555477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59230bfa1cd672c84f0acb27383e3cfcf4e96e6622317e9e615656fd8432fce

Aliases

arxiv: 1509.00260 · arxiv_version: 1509.00260v2 · doi: 10.48550/arxiv.1509.00260 · pith_short_12: 4WJDBP5BZVTS · pith_short_16: 4WJDBP5BZVTSZBHQ · pith_short_8: 4WJDBP5B

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/4WJDBP5BZVTSZBHQVSZHHA7DZ7 \
  | 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: e59230bfa1cd672c84f0acb27383e3cfcf4e96e6622317e9e615656fd8432fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b150d6d9edb3d36bec657c748f8416a9d7fc20ce8475734c799c0a03fbcb90",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-01T12:38:11Z",
    "title_canon_sha256": "c21221db8b002a852a1c3f592f899656ee064a2cca70bcc5126a085a9ff792bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00260",
    "kind": "arxiv",
    "version": 2
  }
}