Pith Number

pith:3TVHU7AG

pith:2015:3TVHU7AGU4R3BNNLQ32S7R5TLZ

not attested not anchored not stored refs pending

Beta-gamma tail asymptotics

Jim Pitman, Miklos Z. Racz

arxiv:1509.02583 v1 · 2015-09-09 · 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{3TVHU7AGU4R3BNNLQ32S7R5TLZ}

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	2026-05-18T01:33:34.690667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcea7a7c06a723b0b5ab86f52fc7b35e436f02ac61276ea8ee446035a83824fa

Aliases

arxiv: 1509.02583 · arxiv_version: 1509.02583v1 · doi: 10.48550/arxiv.1509.02583 · pith_short_12: 3TVHU7AGU4R3 · pith_short_16: 3TVHU7AGU4R3BNNL · pith_short_8: 3TVHU7AG

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/3TVHU7AGU4R3BNNLQ32S7R5TLZ \
  | 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: dcea7a7c06a723b0b5ab86f52fc7b35e436f02ac61276ea8ee446035a83824fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b335d2d707d82f125ff4c07cc95b2e17ab8fc7edc1cb4a09c14c4212516c4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-09T00:22:56Z",
    "title_canon_sha256": "8763c5e210aef181e083378af5b498e788d6950f5097c36e400cf608a243616f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02583",
    "kind": "arxiv",
    "version": 1
  }
}