Pith Number

pith:PTK6A56J

pith:2013:PTK6A56JR6C3SY754JDDRUI2OE

not attested not anchored not stored refs pending

On the expected number of successes in a sequence of nested Bernoulli trials

Eckhard Schlemm

arxiv:1303.4979 v1 · 2013-03-20 · 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{PTK6A56JR6C3SY754JDDRUI2OE}

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	2026-05-18T02:07:32.299037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd5e077c98f85b963fde24638d11a713a6b5ec73b12ca8b529d566bcf2b6530

Aliases

arxiv: 1303.4979 · arxiv_version: 1303.4979v1 · doi: 10.48550/arxiv.1303.4979 · pith_short_12: PTK6A56JR6C3 · pith_short_16: PTK6A56JR6C3SY75 · pith_short_8: PTK6A56J

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/PTK6A56JR6C3SY754JDDRUI2OE \
  | 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: 7cd5e077c98f85b963fde24638d11a713a6b5ec73b12ca8b529d566bcf2b6530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff912fa005fde36af5b658469e6eb5a0454588a78bb607d5c3f4716de871d32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-20T16:20:30Z",
    "title_canon_sha256": "dee4df37348c45382ffcf0f46f5850e9dd749dad1cb58cbe71041fe831407ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4979",
    "kind": "arxiv",
    "version": 1
  }
}