Pith Number

pith:PFSBCODJ

pith:2010:PFSBCODJDCEPSD4PVXTCTQ6LBH

not attested not anchored not stored refs pending

The local quantization behavior of absolutely continuous probabilities

Gilles Pag\`es, Harald Luschgy, Siegfried Graf

arxiv:1009.5093 v2 · 2010-09-26 · 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{PFSBCODJDCEPSD4PVXTCTQ6LBH}

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	2026-05-18T03:29:16.566781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79641138691888f90f8fade629c3cb09cc73c50f3be1dcdd5f74dbc5a4a9bc74

Aliases

arxiv: 1009.5093 · arxiv_version: 1009.5093v2 · doi: 10.48550/arxiv.1009.5093 · pith_short_12: PFSBCODJDCEP · pith_short_16: PFSBCODJDCEPSD4P · pith_short_8: PFSBCODJ

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/PFSBCODJDCEPSD4PVXTCTQ6LBH \
  | 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: 79641138691888f90f8fade629c3cb09cc73c50f3be1dcdd5f74dbc5a4a9bc74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e99e23b5f083594188412bde1086f94b1375667d5f0d94c569648d3e0b92b3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-26T14:04:54Z",
    "title_canon_sha256": "2bfab0cc7fef0f91702c9fbb343c444ff8ec9df37ccb7bd0cc1f3d6495e1dd3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5093",
    "kind": "arxiv",
    "version": 2
  }
}