Pith Number

pith:PEZFXCOY

pith:2011:PEZFXCOYJLFRXS3TEFO5OCBWJQ

not attested not anchored not stored refs pending

Hard edge tail asymptotics

Brian Rider, Jose A. Ramirez, Ofer Zeitouni

arxiv:1109.4121 v2 · 2011-09-19 · 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{PEZFXCOYJLFRXS3TEFO5OCBWJQ}

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	2026-05-18T04:08:05.015953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79325b89d84acb1bcb73215dd708364c32c54492340fbc64bfd8b9a7ff5a2a97

Aliases

arxiv: 1109.4121 · arxiv_version: 1109.4121v2 · doi: 10.48550/arxiv.1109.4121 · pith_short_12: PEZFXCOYJLFR · pith_short_16: PEZFXCOYJLFRXS3T · pith_short_8: PEZFXCOY

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/PEZFXCOYJLFRXS3TEFO5OCBWJQ \
  | 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: 79325b89d84acb1bcb73215dd708364c32c54492340fbc64bfd8b9a7ff5a2a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f35f6596121bd67704d69c64e3b407d29c2b4ad92913528f60ee2401891112",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-19T18:52:09Z",
    "title_canon_sha256": "d69319451e05b1ff87466225a2935575e980256d7f37607c5efc7b6e81e95860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4121",
    "kind": "arxiv",
    "version": 2
  }
}