Pith Number

pith:AT55EV3V

pith:2011:AT55EV3VPYBFVXRSJ5FDL4SYBK

not attested not anchored not stored refs pending

Tail asymptotics for busy periods

Ken R. Duffy, Sean P. Meyn

arxiv:1112.1815 v2 · 2011-12-08 · 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{AT55EV3VPYBFVXRSJ5FDL4SYBK}

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	2026-05-18T01:33:07.160583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04fbd257757e025ade324f4a35f2580aa6dbeb3db8488774175d573d273b9b78

Aliases

arxiv: 1112.1815 · arxiv_version: 1112.1815v2 · doi: 10.48550/arxiv.1112.1815 · pith_short_12: AT55EV3VPYBF · pith_short_16: AT55EV3VPYBFVXRS · pith_short_8: AT55EV3V

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/AT55EV3VPYBFVXRSJ5FDL4SYBK \
  | 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: 04fbd257757e025ade324f4a35f2580aa6dbeb3db8488774175d573d273b9b78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe05343634192a0b8400640de2ed7f8b0ae28cc2d9b0ff718475732779c2f8d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-08T12:08:56Z",
    "title_canon_sha256": "0c0698d9bbb3fd22b2f7f18a88fb262ee2bbf7955731f595146ee0f9a46ad8c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1815",
    "kind": "arxiv",
    "version": 2
  }
}