Pith Number

pith:W3XCXWJI

pith:2016:W3XCXWJIAEEUWHHDVPUJZQLS4J

not attested not anchored not stored refs pending

Successive maxima of samples from a GEM distribution

Jim Pitman, Yuri Yakubovich

arxiv:1609.01601 v1 · 2016-09-06 · 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{W3XCXWJIAEEUWHHDVPUJZQLS4J}

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	2026-05-18T01:05:39.173449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ee2bd92801094b1ce3abe89cc172e2594399e118bf47581a67fd9aeddd6c8f

Aliases

arxiv: 1609.01601 · arxiv_version: 1609.01601v1 · doi: 10.48550/arxiv.1609.01601 · pith_short_12: W3XCXWJIAEEU · pith_short_16: W3XCXWJIAEEUWHHD · pith_short_8: W3XCXWJI

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/W3XCXWJIAEEUWHHDVPUJZQLS4J \
  | 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: b6ee2bd92801094b1ce3abe89cc172e2594399e118bf47581a67fd9aeddd6c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3269f241b90b81880e07d9e8e7c6b8fa09c050b7ff9b5700a258876dec3402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-06T15:22:35Z",
    "title_canon_sha256": "f56d33a35cf435a0a8a0748b99e6d475aa23c44c98281cd1c4579fb65d50a31e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01601",
    "kind": "arxiv",
    "version": 1
  }
}