Pith Number

pith:NFXSIUXZ

pith:2013:NFXSIUXZXNFIVZ3VAMMA6SXOQB

not attested not anchored not stored refs pending

On the expectation of normalized Brownian functionals up to first hitting times

IUF), LAMA), Marc Yor (LPMA, Mathieu Rosenbaum (LPMA), Romuald Elie (CREST

arxiv:1310.1181 v1 · 2013-10-04 · 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{NFXSIUXZXNFIVZ3VAMMA6SXOQB}

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	2026-05-18T03:11:23.338347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

696f2452f9bb4a8ae77503180f4aee80407c43415f6d81dbe666048ccaa6112d

Aliases

arxiv: 1310.1181 · arxiv_version: 1310.1181v1 · doi: 10.48550/arxiv.1310.1181 · pith_short_12: NFXSIUXZXNFI · pith_short_16: NFXSIUXZXNFIVZ3V · pith_short_8: NFXSIUXZ

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/NFXSIUXZXNFIVZ3VAMMA6SXOQB \
  | 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: 696f2452f9bb4a8ae77503180f4aee80407c43415f6d81dbe666048ccaa6112d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28df192147ccf560122b4010fa6458fb195466f9270e3300f67db13bbc4f6b48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-04T06:37:50Z",
    "title_canon_sha256": "6ee182e5321791b04d156c9db3a0ab9c71bbf739844123ebef617228cef45aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1181",
    "kind": "arxiv",
    "version": 1
  }
}