Pith Number

pith:KAXT6E5L

pith:2016:KAXT6E5LWVDBKV2HO5KKO4UYXB

not attested not anchored not stored refs pending

A probabilistic proof of a binomial identity

Jonathon Peterson

arxiv:1606.03545 v1 · 2016-06-11 · 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{KAXT6E5LWVDBKV2HO5KKO4UYXB}

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	2026-05-18T01:12:33.739947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

502f3f13abb5461557477754a77298b86de7b40550d3b833a51f7436580134e1

Aliases

arxiv: 1606.03545 · arxiv_version: 1606.03545v1 · doi: 10.48550/arxiv.1606.03545 · pith_short_12: KAXT6E5LWVDB · pith_short_16: KAXT6E5LWVDBKV2H · pith_short_8: KAXT6E5L

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/KAXT6E5LWVDBKV2HO5KKO4UYXB \
  | 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: 502f3f13abb5461557477754a77298b86de7b40550d3b833a51f7436580134e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6979cceec23fef9d3801155eafeb2ca30dc0aae34375a3216a640380bb4adbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-11T03:49:53Z",
    "title_canon_sha256": "c70cfa34ceed8d74c82413784fc3e9551f2b895c375f95eb130a7e44ff765b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03545",
    "kind": "arxiv",
    "version": 1
  }
}