Pith Number

pith:3AWVXOKZ

pith:2012:3AWVXOKZFBZSHBFONUXZFZDZXJ

not attested not anchored not stored refs pending

On some monotonic combinatorial sequences conjectures

Florian Luca, Pantelimon Stanica

arxiv:1208.5151 v1 · 2012-08-25 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AWVXOKZFBZSHBFONUXZFZDZXJ}

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	2026-05-18T03:47:00.271241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d82d5bb95928732384ae6d2f92e479ba7e541826f73a8e1b9ad9912e8c3d9eb2

Aliases

arxiv: 1208.5151 · arxiv_version: 1208.5151v1 · doi: 10.48550/arxiv.1208.5151 · pith_short_12: 3AWVXOKZFBZS · pith_short_16: 3AWVXOKZFBZSHBFO · pith_short_8: 3AWVXOKZ

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/3AWVXOKZFBZSHBFONUXZFZDZXJ \
  | 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: d82d5bb95928732384ae6d2f92e479ba7e541826f73a8e1b9ad9912e8c3d9eb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d49b4d2c74c4cf37838e84e4279914e93567424efabf2c45d6768db401d72d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-25T17:28:09Z",
    "title_canon_sha256": "376a6a66e949b148c5f649f0ed18117820477f9c175565def99d261ab8339592"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5151",
    "kind": "arxiv",
    "version": 1
  }
}