Pith Number

pith:WJ37LOPD

pith:2012:WJ37LOPDGOW42ELL4NOHXFF4R6

not attested not anchored not stored refs pending

Stochastic Analysis on Path Space over Time-Inhomogeneous Manifolds with Boundary

Lijuan Cheng

arxiv:1211.3625 v1 · 2012-11-15 · 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{WJ37LOPDGOW42ELL4NOHXFF4R6}

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	2026-05-18T03:40:39.259591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b277f5b9e333adcd116be35c7b94bc8f80fab1a14d051ee87c728a2ab98a5ca0

Aliases

arxiv: 1211.3625 · arxiv_version: 1211.3625v1 · doi: 10.48550/arxiv.1211.3625 · pith_short_12: WJ37LOPDGOW4 · pith_short_16: WJ37LOPDGOW42ELL · pith_short_8: WJ37LOPD

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/WJ37LOPDGOW42ELL4NOHXFF4R6 \
  | 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: b277f5b9e333adcd116be35c7b94bc8f80fab1a14d051ee87c728a2ab98a5ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d02c9ac38f9fa71261a598e679211784378b1506058b7d25de3f92d01c62ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-15T15:00:38Z",
    "title_canon_sha256": "596e9061c4122d25532e04be0aab6886852596f6fa6012fa4a3398ab6a67c88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3625",
    "kind": "arxiv",
    "version": 1
  }
}