Pith Number

pith:BVN74P64

pith:2009:BVN74P646WYRJSR2PGCPCO777U

not attested not anchored not stored refs pending

Distribution modulo 1 and the lexicographic world

Amy Glen, Jean-Paul Allouche

arxiv:0907.3560 v2 · 2009-07-21 · 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{BVN74P646WYRJSR2PGCPCO777U}

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	2026-05-18T04:30:26.593512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d5bfe3fdcf5b114ca3a7984f13bfffd1d1c189a0fecec8eb4d307c8250c7446

Aliases

arxiv: 0907.3560 · arxiv_version: 0907.3560v2 · doi: 10.48550/arxiv.0907.3560 · pith_short_12: BVN74P646WYR · pith_short_16: BVN74P646WYRJSR2 · pith_short_8: BVN74P64

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/BVN74P646WYRJSR2PGCPCO777U \
  | 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: 0d5bfe3fdcf5b114ca3a7984f13bfffd1d1c189a0fecec8eb4d307c8250c7446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8affc967f4d8f4a27056f9811c3833ae5cbd7efc794931d70e49276b54bfdfb0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-21T07:23:31Z",
    "title_canon_sha256": "7cfb3083363c0639b15399b932eb90807df88433ad1c4aed26fdf66b833e2f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3560",
    "kind": "arxiv",
    "version": 2
  }
}