Pith Number

pith:A4N2YWEC

pith:2007:A4N2YWECWNYHWOF3W6SF37MFRH

not attested not anchored not stored refs pending

A note on the Markoff condition and central words

Aaron Lauve, Amy Glen, Franco V. Saliola

arxiv:0708.4217 v1 · 2007-08-30 · 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{A4N2YWECWNYHWOF3W6SF37MFRH}

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	2026-07-04T15:03:56.049847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071bac5882b3707b38bbb7a45dfd8589d0f5538dfa9787945ab7b6123b910fa2

Aliases

arxiv: 0708.4217 · arxiv_version: 0708.4217v1 · doi: 10.48550/arxiv.0708.4217 · pith_short_12: A4N2YWECWNYH · pith_short_16: A4N2YWECWNYHWOF3 · pith_short_8: A4N2YWEC

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/A4N2YWECWNYHWOF3W6SF37MFRH \
  | 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: 071bac5882b3707b38bbb7a45dfd8589d0f5538dfa9787945ab7b6123b910fa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8509e2cfd75c55648bf3b2b4e237812a049f1660e115c4ba9499b76666ef5b7e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-08-30T19:26:31Z",
    "title_canon_sha256": "9136af93cf5023821d5bcf0bcc1bb87eb7c62ff68d920682b77f6d108b8e578d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4217",
    "kind": "arxiv",
    "version": 1
  }
}