Pith Number

pith:H53U35VR

pith:2018:H53U35VREE5RS6D7P5HNWHKAFY

not attested not anchored not stored refs pending

Bridges with random length: Gamma case

Astrid Hilbert, Mohamed Erraoui, Mohammed Louriki

arxiv:1804.03442 v1 · 2018-04-10 · 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{H53U35VREE5RS6D7P5HNWHKAFY}

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	2026-05-18T00:18:48.236159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f774df6b1213b19787f7f4edb1d402e08b511ca9b4908386707344f8cd8ca5c

Aliases

arxiv: 1804.03442 · arxiv_version: 1804.03442v1 · doi: 10.48550/arxiv.1804.03442 · pith_short_12: H53U35VREE5R · pith_short_16: H53U35VREE5RS6D7 · pith_short_8: H53U35VR

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/H53U35VREE5RS6D7P5HNWHKAFY \
  | 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: 3f774df6b1213b19787f7f4edb1d402e08b511ca9b4908386707344f8cd8ca5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe166164738760dc71f6534a6ac6b5f0e413ee8e977d04d8b708bbc35d8564a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-10T10:41:04Z",
    "title_canon_sha256": "1f531466d50f374186c562f82077bb6b1345ac663078beb7ba0fbeda75ef2636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03442",
    "kind": "arxiv",
    "version": 1
  }
}