Pith Number

pith:4YO52C4U

pith:2016:4YO52C4U5L7E2LHBYJEPLKMU5S

not attested not anchored not stored refs pending

Stationary increments harmonizable stable fields: upper estimates on path behaviour

Antoine Ayache, Geoffrey Boutard

arxiv:1606.03263 v1 · 2016-06-10 · 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{4YO52C4U5L7E2LHBYJEPLKMU5S}

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	2026-05-18T01:12:37.260566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61ddd0b94eafe4d2ce1c248f5a994ecbcb872a8103df38dfb38b6229c89add0

Aliases

arxiv: 1606.03263 · arxiv_version: 1606.03263v1 · doi: 10.48550/arxiv.1606.03263 · pith_short_12: 4YO52C4U5L7E · pith_short_16: 4YO52C4U5L7E2LHB · pith_short_8: 4YO52C4U

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/4YO52C4U5L7E2LHBYJEPLKMU5S \
  | 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: e61ddd0b94eafe4d2ce1c248f5a994ecbcb872a8103df38dfb38b6229c89add0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50cc0789932d77d1b7fe3e6aceef3419c6b2ed6b283ae7c4c19013d40e726013",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-10T10:34:19Z",
    "title_canon_sha256": "246a5f9d9233085d2f3dac9f70ce17fce8ed40accfea4576206f14a3bc92eea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03263",
    "kind": "arxiv",
    "version": 1
  }
}