Pith Number

pith:LM4AJMEW

pith:2017:LM4AJMEWIABLHUHBBGGI5JYWUL

not attested not anchored not stored refs pending

A Sharp Tail Bound for the Expander Random Sampler

Oded Regev, Shravas Rao

arxiv:1703.10205 v3 · 2017-03-29 · math.PR · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LM4AJMEWIABLHUHBBGGI5JYWUL}

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	2026-05-18T00:36:47.540499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3804b0964002b3d0e1098c8ea716a2f0406031725bf7cf8d1bcad9a493f4d9

Aliases

arxiv: 1703.10205 · arxiv_version: 1703.10205v3 · doi: 10.48550/arxiv.1703.10205 · pith_short_12: LM4AJMEWIABL · pith_short_16: LM4AJMEWIABLHUHB · pith_short_8: LM4AJMEW

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/LM4AJMEWIABLHUHBBGGI5JYWUL \
  | 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: 5b3804b0964002b3d0e1098c8ea716a2f0406031725bf7cf8d1bcad9a493f4d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489b263ec9aee23839deac7eb5356297b3e2e8b36de43448928602c1da19c479",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-29T19:23:01Z",
    "title_canon_sha256": "92c5fb167ed5eb47f32bf843281a036b47716372d283b6fa2d4fa157bee642f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10205",
    "kind": "arxiv",
    "version": 3
  }
}