Pith Number

pith:VFAN4U73

pith:2012:VFAN4U73O4MCXNMNXQSP7XTCL4

not attested not anchored not stored refs pending

Perturbing PLA

Alexander Olevskii, Gady Kozma

arxiv:1202.5538 v1 · 2012-02-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFAN4U73O4MCXNMNXQSP7XTCL4}

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	2026-05-18T04:01:36.691086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a940de53fb77182bb58dbc24ffde625f24a5e4716f3ca451f3e393cfb36522ce

Aliases

arxiv: 1202.5538 · arxiv_version: 1202.5538v1 · doi: 10.48550/arxiv.1202.5538 · pith_short_12: VFAN4U73O4MC · pith_short_16: VFAN4U73O4MCXNMN · pith_short_8: VFAN4U73

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/VFAN4U73O4MCXNMNXQSP7XTCL4 \
  | 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: a940de53fb77182bb58dbc24ffde625f24a5e4716f3ca451f3e393cfb36522ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6622d7757362ec9f992624f886411b7fbc56078ac36914a2a68dc26dd912f676",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-24T19:51:34Z",
    "title_canon_sha256": "e881d8fa76bf4fe79bea2868be4008b989e47f1a4c2101712c6434a047f607fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5538",
    "kind": "arxiv",
    "version": 1
  }
}