Pith Number

pith:OA4IM2RO

pith:2011:OA4IM2ROP27CN76XDRH57V4MOF

not attested not anchored not stored refs pending

Persistence of iterated partial sums

Amir Dembo, Fuchang Gao

arxiv:1101.5743 v1 · 2011-01-30 · 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{OA4IM2ROP27CN76XDRH57V4MOF}

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	2026-05-18T04:30:24.914107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7038866a2e7ebe26ffd71c4fdfd78c717af894d13a26c9e4aaa320c77bc9df79

Aliases

arxiv: 1101.5743 · arxiv_version: 1101.5743v1 · doi: 10.48550/arxiv.1101.5743 · pith_short_12: OA4IM2ROP27C · pith_short_16: OA4IM2ROP27CN76X · pith_short_8: OA4IM2RO

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/OA4IM2ROP27CN76XDRH57V4MOF \
  | 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: 7038866a2e7ebe26ffd71c4fdfd78c717af894d13a26c9e4aaa320c77bc9df79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc7acf8d7b070b84bdb4664430ac315d2b1f4e072588912f5a8b7b890d7b4d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-30T03:03:31Z",
    "title_canon_sha256": "d47de3ec23242f6615566c94646dd7bc1aab5d705eeb740221bc668d9f78088d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5743",
    "kind": "arxiv",
    "version": 1
  }
}