Pith Number

pith:TC5TSVA5

pith:2012:TC5TSVA5Y4MR4VFI3YABUEY5VH

not attested not anchored not stored refs pending

Sieve in discrete groups, especially sparse

Emmanuel Kowalski

arxiv:1207.7051 v2 · 2012-07-30 · 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{TC5TSVA5Y4MR4VFI3YABUEY5VH}

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	2026-05-18T03:36:06.360365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bb39541dc7191e54a8de001a131da9c052373594da97ca1ad3828fd1832686

Aliases

arxiv: 1207.7051 · arxiv_version: 1207.7051v2 · doi: 10.48550/arxiv.1207.7051 · pith_short_12: TC5TSVA5Y4MR · pith_short_16: TC5TSVA5Y4MR4VFI · pith_short_8: TC5TSVA5

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/TC5TSVA5Y4MR4VFI3YABUEY5VH \
  | 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: 98bb39541dc7191e54a8de001a131da9c052373594da97ca1ad3828fd1832686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad9a58fc4b2acb7c9e3aff6b4a9c540ab051023ee1c6d5e6de6fa664b10e884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-30T19:32:33Z",
    "title_canon_sha256": "ab62f7086d9c31460958d814d7aa366b30972c987c5f3428e0f62175e0422c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7051",
    "kind": "arxiv",
    "version": 2
  }
}