Pith Number

pith:TDOYKABK

pith:2019:TDOYKABKHMJKAMV3EJOSBU444T

not attested not anchored not stored refs pending

$\omega$-Lyndon words

Luca Q. Zamboni, Micka\"el Postic

arxiv:1907.01072 v2 · 2019-07-01 · 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{TDOYKABKHMJKAMV3EJOSBU444T}

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	2026-05-17T23:41:07.099762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98dd85002a3b12a032bb225d20d39ce4c1f4758d1267a1ce427ed5396ab03105

Aliases

arxiv: 1907.01072 · arxiv_version: 1907.01072v2 · doi: 10.48550/arxiv.1907.01072 · pith_short_12: TDOYKABKHMJK · pith_short_16: TDOYKABKHMJKAMV3 · pith_short_8: TDOYKABK

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/TDOYKABKHMJKAMV3EJOSBU444T \
  | 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: 98dd85002a3b12a032bb225d20d39ce4c1f4758d1267a1ce427ed5396ab03105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df2b03250a568fc3e754eef8469d9b5949b82264bbb5979d0050c19e294a3e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-01T20:56:16Z",
    "title_canon_sha256": "64db91c6140dc7302548e73b83c53eb0b1a5c48eb3c8585e985b9a2d6ff4f451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01072",
    "kind": "arxiv",
    "version": 2
  }
}