Pith Number

pith:5DXAXKWA

pith:2013:5DXAXKWAGNTVCGKC7TQNTSPVCM

not attested not anchored not stored refs pending

Morphic Words and Nested Recurrence Relations

Frank Ruskey, Marcel Celaya

arxiv:1307.0153 v1 · 2013-06-29 · 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{5DXAXKWAGNTVCGKC7TQNTSPVCM}

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	2026-05-18T03:19:34.166850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ee0baac03367511942fce0d9c9f5132974cd6ecf0a6a464b398574518977e5

Aliases

arxiv: 1307.0153 · arxiv_version: 1307.0153v1 · doi: 10.48550/arxiv.1307.0153 · pith_short_12: 5DXAXKWAGNTV · pith_short_16: 5DXAXKWAGNTVCGKC · pith_short_8: 5DXAXKWA

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/5DXAXKWAGNTVCGKC7TQNTSPVCM \
  | 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: e8ee0baac03367511942fce0d9c9f5132974cd6ecf0a6a464b398574518977e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02672190ff8101a7a2e5f1aa14fb36f809424e61277b7aa67b87dee818f098e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-29T21:50:09Z",
    "title_canon_sha256": "2d1bd5cde59d2efdc6cc7820d069a711cc55de9db5e81651c4f227442a4100f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0153",
    "kind": "arxiv",
    "version": 1
  }
}