Pith Number

pith:SMV5Q3LQ

pith:2018:SMV5Q3LQT6ETESRKPT2PQBGZA6

not attested not anchored not stored refs pending

Optimization on fractal sets

Claire David, Nizar Riane

arxiv:1812.02743 v1 · 2018-12-07 · math.MG · 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{SMV5Q3LQT6ETESRKPT2PQBGZA6}

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	2026-05-17T23:58:51.963250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

932bd86d709f89324a2a7cf4f804d90792f8c355dcec75423480cfadc1eec6b5

Aliases

arxiv: 1812.02743 · arxiv_version: 1812.02743v1 · doi: 10.48550/arxiv.1812.02743 · pith_short_12: SMV5Q3LQT6ET · pith_short_16: SMV5Q3LQT6ETESRK · pith_short_8: SMV5Q3LQ

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/SMV5Q3LQT6ETESRKPT2PQBGZA6 \
  | 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: 932bd86d709f89324a2a7cf4f804d90792f8c355dcec75423480cfadc1eec6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1fa5af2e3f746840dcd6a81b0c8a6acfc195aef4d9ad76bd492c52dfedcbd5f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-12-07T18:00:15Z",
    "title_canon_sha256": "0ae5aa322dc0550e83b36c122166fee80d08f3c3607e9907374910ae8a447a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02743",
    "kind": "arxiv",
    "version": 1
  }
}