Pith Number

pith:U55GXRXF

pith:2013:U55GXRXFFTRVQF3NDKFXHUNMVW

not attested not anchored not stored refs pending

Riesz representation and optimal stopping with two case studies

Paavo Salminen, S\"oren Christensen

arxiv:1309.2469 v3 · 2013-09-10 · 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{U55GXRXFFTRVQF3NDKFXHUNMVW}

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	2026-05-18T01:29:47.198931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77a6bc6e52ce358176d1a8b73d1acadb056b908e2c2c8375ec6bccc47919a64

Aliases

arxiv: 1309.2469 · arxiv_version: 1309.2469v3 · doi: 10.48550/arxiv.1309.2469 · pith_short_12: U55GXRXFFTRV · pith_short_16: U55GXRXFFTRVQF3N · pith_short_8: U55GXRXF

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/U55GXRXFFTRVQF3NDKFXHUNMVW \
  | 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: a77a6bc6e52ce358176d1a8b73d1acadb056b908e2c2c8375ec6bccc47919a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a618f6b1ce3de02938798a652305f038d33a4bfa696648856428dc903fc357a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-10T11:55:58Z",
    "title_canon_sha256": "911b8448229945525c9dd81da38bc9e5e9325f114c6168df0b511e1cc9a23257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2469",
    "kind": "arxiv",
    "version": 3
  }
}