Pith Number

pith:VWNYGTVL

pith:2011:VWNYGTVLTE2YWBSKZTP36ZZT5R

not attested not anchored not stored refs pending

Affine Sieve

Alireza Salehi Golsefidy, Peter Sarnak

arxiv:1109.6432 v1 · 2011-09-29 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWNYGTVLTE2YWBSKZTP36ZZT5R}

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	2026-05-18T04:12:01.557028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9b834eab99358b064accdfbf6733ec5b2bdd896c8fd82b9d0f7cc2bff4aafe

Aliases

arxiv: 1109.6432 · arxiv_version: 1109.6432v1 · doi: 10.48550/arxiv.1109.6432 · pith_short_12: VWNYGTVLTE2Y · pith_short_16: VWNYGTVLTE2YWBSK · pith_short_8: VWNYGTVL

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/VWNYGTVLTE2YWBSKZTP36ZZT5R \
  | 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: ad9b834eab99358b064accdfbf6733ec5b2bdd896c8fd82b9d0f7cc2bff4aafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d295fc5cfb057c246ed67a821eacbdadec2f088582fc5a01f5e5c8464e35e8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-29T08:22:49Z",
    "title_canon_sha256": "51bd8c44b28efed814adbc938cf8f9837979d18e5ba5576291abef25c562dd37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6432",
    "kind": "arxiv",
    "version": 1
  }
}