Pith Number

pith:D7GLUWOP

pith:2013:D7GLUWOPEXHBBTXDN7E5C6GN5R

not attested not anchored not stored refs pending

Transience and recurrence of a Brownian path with limited local time and its repulsion envelope

Martin Kolb, Mladen Savov

arxiv:1312.4131 v2 · 2013-12-15 · 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{D7GLUWOPEXHBBTXDN7E5C6GN5R}

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	2026-05-18T02:25:26.662889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fccba59cf25ce10cee36fc9d178cdec665e593b57274d33a52ffb489e5ab86d

Aliases

arxiv: 1312.4131 · arxiv_version: 1312.4131v2 · doi: 10.48550/arxiv.1312.4131 · pith_short_12: D7GLUWOPEXHB · pith_short_16: D7GLUWOPEXHBBTXD · pith_short_8: D7GLUWOP

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/D7GLUWOPEXHBBTXDN7E5C6GN5R \
  | 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: 1fccba59cf25ce10cee36fc9d178cdec665e593b57274d33a52ffb489e5ab86d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdaecf5af53b490c1396b6bdfe56bfb886f3f8ae35a07acd2f7929c5e5b81d8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-15T10:19:56Z",
    "title_canon_sha256": "2ad0634e44f0c245c5d10fda75707e395e8f23d33f8580217dcb083bcf26279c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4131",
    "kind": "arxiv",
    "version": 2
  }
}