Pith Number

pith:7SKZI6YW

pith:2016:7SKZI6YWKORIJTYK4Y6PWGZBBB

not attested not anchored not stored refs pending

Lyndon word decompositions and pseudo orbits on q-nary graphs

J. M. Harrison, M. Sepanski, R. Band

arxiv:1610.03808 v2 · 2016-10-12 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SKZI6YWKORIJTYK4Y6PWGZBBB}

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	2026-05-18T00:05:34.667213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc95947b1653a284cf0ae63cfb1b21084b95758d27a7fe7375bd72fae4a48c54

Aliases

arxiv: 1610.03808 · arxiv_version: 1610.03808v2 · doi: 10.48550/arxiv.1610.03808 · pith_short_12: 7SKZI6YWKORI · pith_short_16: 7SKZI6YWKORIJTYK · pith_short_8: 7SKZI6YW

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/7SKZI6YWKORIJTYK4Y6PWGZBBB \
  | 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: fc95947b1653a284cf0ae63cfb1b21084b95758d27a7fe7375bd72fae4a48c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123e19b13a14df827a7ecba21621a6feeba53e0d4a2a1fc6e0d467e3066ac547",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-12T18:01:16Z",
    "title_canon_sha256": "f11e43054f57f9d5c1f8c97d121b743c72759d0685019ec2d7641dff3ca6db50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03808",
    "kind": "arxiv",
    "version": 2
  }
}