Pith Number

pith:GNTANJPP

pith:2010:GNTANJPP2MFAFYSQRLJ44U7CUN

not attested not anchored not stored refs pending

On extrema of stable processes

Alexey Kuznetsov

arxiv:1001.0991 v3 · 2010-01-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNTANJPP2MFAFYSQRLJ44U7CUN}

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	2026-05-18T04:24:45.362741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336606a5efd30a02e2508ad3ce53e2a3718f4d8031f2678a1a41df92764de1ce

Aliases

arxiv: 1001.0991 · arxiv_version: 1001.0991v3 · doi: 10.48550/arxiv.1001.0991 · pith_short_12: GNTANJPP2MFA · pith_short_16: GNTANJPP2MFAFYSQ · pith_short_8: GNTANJPP

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/GNTANJPP2MFAFYSQRLJ44U7CUN \
  | 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: 336606a5efd30a02e2508ad3ce53e2a3718f4d8031f2678a1a41df92764de1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c4c9c3a72780b8b1f08943ec03dee271ee5a4ffefb429381858d112f6ae27b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-07T07:29:00Z",
    "title_canon_sha256": "d16b26f4aecd5a64cee14427d8ac3d2bbd0e94bc75f1d75e17b2921f2ff20835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0991",
    "kind": "arxiv",
    "version": 3
  }
}