Pith Number

pith:O2ERXHS6

pith:2009:O2ERXHS6TTMNXFG47ZS3QRW7XP

not attested not anchored not stored refs pending

Imperfect friezes of integers

Maria Carvalho, Mario Bessa

arxiv:0909.5667 v1 · 2009-09-30 · math.NT · 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{O2ERXHS6TTMNXFG47ZS3QRW7XP}

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	2026-05-18T02:56:21.606166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76891b9e5e9cd8db94dcfe65b846dfbbc7d8acf75c5ef9943e4ab69b3cdcd9f8

Aliases

arxiv: 0909.5667 · arxiv_version: 0909.5667v1 · doi: 10.48550/arxiv.0909.5667 · pith_short_12: O2ERXHS6TTMN · pith_short_16: O2ERXHS6TTMNXFG4 · pith_short_8: O2ERXHS6

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/O2ERXHS6TTMNXFG47ZS3QRW7XP \
  | 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: 76891b9e5e9cd8db94dcfe65b846dfbbc7d8acf75c5ef9943e4ab69b3cdcd9f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29bbec2fedad11eed80a79b219e67e275c849661d7dfad8e4058b63999c7b9f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-30T17:18:53Z",
    "title_canon_sha256": "34d87a2bda6cb0c5188e1756905c7e855d66ced460eb2740f7bd1f60b853265f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5667",
    "kind": "arxiv",
    "version": 1
  }
}