Pith Number

pith:XKOVM2N7

pith:2007:XKOVM2N7SG24VWCP4RZW73TFHU

not attested not anchored not stored refs pending

Characterizations of finite and infinite episturmian words via lexicographic orderings

Amy Glen, Giuseppe Pirillo, Jacques Justin

arxiv:0708.4409 v1 · 2007-08-31 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKOVM2N7SG24VWCP4RZW73TFHU}

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	2026-07-04T17:23:15.814643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba9d5669bf91b5cad84fe4736fee653d392440472ab5aa989f5dd0e5655c8e11

Aliases

arxiv: 0708.4409 · arxiv_version: 0708.4409v1 · doi: 10.48550/arxiv.0708.4409 · pith_short_12: XKOVM2N7SG24 · pith_short_16: XKOVM2N7SG24VWCP · pith_short_8: XKOVM2N7

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/XKOVM2N7SG24VWCP4RZW73TFHU \
  | 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: ba9d5669bf91b5cad84fe4736fee653d392440472ab5aa989f5dd0e5655c8e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f795df82bf9500d47a97f7b583cc38aaa7b5b31f6d246aa011c250729ec6477f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-08-31T18:51:41Z",
    "title_canon_sha256": "b4f1e0d1d189c0fa91d55f72368c914c64ffff08ed29157099de9a002b8e3f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4409",
    "kind": "arxiv",
    "version": 1
  }
}