Pith Number

pith:FMV2HTJH

pith:2011:FMV2HTJHU5U5IDRX5W3O3TY7ME

not attested not anchored not stored refs pending

Bridges of L\'{e}vy processes conditioned to stay positive

Ger\'onimo Uribe Bravo

arxiv:1101.4184 v3 · 2011-01-21 · 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{FMV2HTJHU5U5IDRX5W3O3TY7ME}

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	2026-05-18T03:00:11.718362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b2ba3cd27a769d40e37edb6edcf1f61221930fb5f0228036ed021e53db03d37

Aliases

arxiv: 1101.4184 · arxiv_version: 1101.4184v3 · doi: 10.48550/arxiv.1101.4184 · pith_short_12: FMV2HTJHU5U5 · pith_short_16: FMV2HTJHU5U5IDRX · pith_short_8: FMV2HTJH

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/FMV2HTJHU5U5IDRX5W3O3TY7ME \
  | 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: 2b2ba3cd27a769d40e37edb6edcf1f61221930fb5f0228036ed021e53db03d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da256e7787d3e2e0beee5e7d4cb7760549126af22f615e59a895ea5a2d004313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-21T17:03:02Z",
    "title_canon_sha256": "8c87d1ae983f53bb08a150c8e1ef81bfddd37608f9f4daf8ca02bda03eb48648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4184",
    "kind": "arxiv",
    "version": 3
  }
}