Pith Number

pith:MOAQZ6O6

pith:2010:MOAQZ6O6YB43ZW6I6FKNMHK33C

not attested not anchored not stored refs pending

Sieve in expansion

Emmanuel Kowalski

arxiv:1012.2793 v1 · 2010-12-13 · 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{MOAQZ6O6YB43ZW6I6FKNMHK33C}

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	2026-05-18T04:33:27.747729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63810cf9dec079bcdbc8f154d61d5bd8aece73708f6390ce706f09e44392a8ae

Aliases

arxiv: 1012.2793 · arxiv_version: 1012.2793v1 · doi: 10.48550/arxiv.1012.2793 · pith_short_12: MOAQZ6O6YB43 · pith_short_16: MOAQZ6O6YB43ZW6I · pith_short_8: MOAQZ6O6

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/MOAQZ6O6YB43ZW6I6FKNMHK33C \
  | 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: 63810cf9dec079bcdbc8f154d61d5bd8aece73708f6390ce706f09e44392a8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e0f05a37d50fe241513db69c795a73315392ddb65105be71fc2b31188c60c53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-13T16:20:34Z",
    "title_canon_sha256": "6944cbc25cb77fb68b988632fa9cd570e706b33bfdc0958d06b99fb98bc01d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2793",
    "kind": "arxiv",
    "version": 1
  }
}