Pith Number

pith:INFG56ZX

pith:2015:INFG56ZXURJQCVNSXW6DDOJG5N

not attested not anchored not stored refs pending

On a Density for Sets of Integers

H. M. de Oliveira, L. C. R\^ego, R. J. Cintra, R. M. Campello de Souza

arxiv:1502.02601 v1 · 2015-02-09 · stat.ME · 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{INFG56ZXURJQCVNSXW6DDOJG5N}

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	2026-05-18T02:27:41.746490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

434a6efb37a4530155b2bdbc31b926eb49e8f528bc15c7fac95b303bedb89863

Aliases

arxiv: 1502.02601 · arxiv_version: 1502.02601v1 · doi: 10.48550/arxiv.1502.02601 · pith_short_12: INFG56ZXURJQ · pith_short_16: INFG56ZXURJQCVNS · pith_short_8: INFG56ZX

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/INFG56ZXURJQCVNSXW6DDOJG5N \
  | 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: 434a6efb37a4530155b2bdbc31b926eb49e8f528bc15c7fac95b303bedb89863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56cb848b7da56918092ea7911c9372f1cfbafef60efae5cbb78cae9381d38c3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-02-09T18:58:04Z",
    "title_canon_sha256": "47580ae68449b72510abd4e98057490def4890a060308e4195583f3df7ca7365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02601",
    "kind": "arxiv",
    "version": 1
  }
}