Pith Number

pith:MHKSSMZ2

pith:2013:MHKSSMZ2BRBTB6ADGAPQ6PD4DB

not attested not anchored not stored refs pending

Examples Concerning Abelian and Cesaro Limits

Christopher J. Bishop, Eugene A. Feinberg, Junyu Zhang

arxiv:1310.2482 v3 · 2013-10-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHKSSMZ2BRBTB6ADGAPQ6PD4DB}

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	2026-05-18T02:48:37.262135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d529333a0c4330f803301f0f3c7c185add11229b6b4f72ed44b1e018315467

Aliases

arxiv: 1310.2482 · arxiv_version: 1310.2482v3 · doi: 10.48550/arxiv.1310.2482 · pith_short_12: MHKSSMZ2BRBT · pith_short_16: MHKSSMZ2BRBTB6AD · pith_short_8: MHKSSMZ2

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/MHKSSMZ2BRBTB6ADGAPQ6PD4DB \
  | 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: 61d529333a0c4330f803301f0f3c7c185add11229b6b4f72ed44b1e018315467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d20b1b8fa6b56b1280e38bc04f36a188ede9ad1d9276537419d5e610a7930f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-04T20:16:31Z",
    "title_canon_sha256": "aa301f30fd2aa273f9a23e7c8dfc6ee7634bf2675e03c1b1755f5ffe6d4d5fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2482",
    "kind": "arxiv",
    "version": 3
  }
}