Pith Number

pith:4WCGNJF2

pith:2008:4WCGNJF2X6KEOJ27OXQRUNBHLG

not attested not anchored not stored refs pending

Absolute continuity for some one-dimensional processes

Jacques Printems, Nicolas Fournier

arxiv:0804.3037 v3 · 2008-04-18 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WCGNJF2X6KEOJ27OXQRUNBHLG}

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	2026-05-18T04:39:39.510863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58466a4babf9447275f75e11a342759bbec71cddc3cc760ab171ecd7bfa088f

Aliases

arxiv: 0804.3037 · arxiv_version: 0804.3037v3 · doi: 10.48550/arxiv.0804.3037 · pith_short_12: 4WCGNJF2X6KE · pith_short_16: 4WCGNJF2X6KEOJ27 · pith_short_8: 4WCGNJF2

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/4WCGNJF2X6KEOJ27OXQRUNBHLG \
  | 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: e58466a4babf9447275f75e11a342759bbec71cddc3cc760ab171ecd7bfa088f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c71733912c45ecb1687dad53902df2326d7872dd466becf71f33ed83887d393",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-04-18T15:11:56Z",
    "title_canon_sha256": "99c3f3f2798867c9f765f4f7a6384187b0c8a205429bbe59e1e9633d8a64049d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3037",
    "kind": "arxiv",
    "version": 3
  }
}