Pith Number

pith:ESZQ7HR7

pith:2013:ESZQ7HR7EO7RMJYL3WU6U7GXFS

not attested not anchored not stored refs pending

Beardwood-Halton-Hammersley Theorem for Stationary Ergodic Sequences: a Counterexample

Alessandro Arlotto, J. Michael Steele

arxiv:1307.0221 v4 · 2013-06-30 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESZQ7HR7EO7RMJYL3WU6U7GXFS}

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	2026-05-18T01:06:24.856681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b30f9e3f23bf16270bdda9ea7cd72ca58911d0f54c2f09e12669514745bfab

Aliases

arxiv: 1307.0221 · arxiv_version: 1307.0221v4 · doi: 10.48550/arxiv.1307.0221 · pith_short_12: ESZQ7HR7EO7R · pith_short_16: ESZQ7HR7EO7RMJYL · pith_short_8: ESZQ7HR7

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/ESZQ7HR7EO7RMJYL3WU6U7GXFS \
  | 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: 24b30f9e3f23bf16270bdda9ea7cd72ca58911d0f54c2f09e12669514745bfab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e0f563edb0853db8417348a10e6c1fec39de7b0e2c5d9bfd93494b4fefb47f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-30T16:56:56Z",
    "title_canon_sha256": "c1d7d9106173e0405f4807cb81810bea0167a842ed29e35993b11a7e599a406d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0221",
    "kind": "arxiv",
    "version": 4
  }
}