Pith Number

pith:OORORVOY

pith:2011:OORORVOYGTMFJ6ZHAJVRUT7IBD

not attested not anchored not stored refs pending

Estimates of gradient perturbation series

Karol Szczypkowski, Tomasz Jakubowski

arxiv:1110.1672 v1 · 2011-10-07 · 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{OORORVOYGTMFJ6ZHAJVRUT7IBD}

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	2026-05-18T04:11:19.912244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a2e8d5d834d854fb27026b1a4fe808f32b8cf264021c220f52bc8c3ecc1daf

Aliases

arxiv: 1110.1672 · arxiv_version: 1110.1672v1 · doi: 10.48550/arxiv.1110.1672 · pith_short_12: OORORVOYGTMF · pith_short_16: OORORVOYGTMFJ6ZH · pith_short_8: OORORVOY

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/OORORVOYGTMFJ6ZHAJVRUT7IBD \
  | 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: 73a2e8d5d834d854fb27026b1a4fe808f32b8cf264021c220f52bc8c3ecc1daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f585244f0acba2127bd4da34ef3e9c6bf8bea495efe36d3fafd30ab4e1c4df5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-07T22:14:15Z",
    "title_canon_sha256": "ed2cf56e8fe27166bfd494f494b736886fa801f2e86ed26e2aa11773066787f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1672",
    "kind": "arxiv",
    "version": 1
  }
}