Pith Number

pith:MCLRCANC

pith:2012:MCLRCANCXX44DFUY53SVMHL6C7

not attested not anchored not stored refs pending

Excursions and path functionals for stochastic processes with asymptotically zero drifts

Andrew R. Wade, Mikhail V. Menshikov, Ostap Hryniv

arxiv:1208.0620 v1 · 2012-08-02 · 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{MCLRCANCXX44DFUY53SVMHL6C7}

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	2026-05-18T03:32:31.700270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60971101a2bdf9c19698eee5561d7e17d165b9665a0227ee89b6c0c08bf933d6

Aliases

arxiv: 1208.0620 · arxiv_version: 1208.0620v1 · doi: 10.48550/arxiv.1208.0620 · pith_short_12: MCLRCANCXX44 · pith_short_16: MCLRCANCXX44DFUY · pith_short_8: MCLRCANC

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/MCLRCANCXX44DFUY53SVMHL6C7 \
  | 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: 60971101a2bdf9c19698eee5561d7e17d165b9665a0227ee89b6c0c08bf933d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc43e57c08fa0b7698605a347ea989c0629f31b35bddd6f3e5da35b4df8468e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-02T21:42:21Z",
    "title_canon_sha256": "4d5c4c71e14d4d9be7c0ce2f3436f25bf5cd3f73d159f2403c20b0c5900ed0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0620",
    "kind": "arxiv",
    "version": 1
  }
}