Pith Number

pith:HRMFN3Z2

pith:2012:HRMFN3Z227OXHVJVTOUD2NYMWT

not attested not anchored not stored refs pending

Convergence to the time average by stochastic regularization

Franco Cardin, Massimiliano Guzzo, Olga Bernardi

arxiv:1207.4897 v1 · 2012-07-20 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRMFN3Z227OXHVJVTOUD2NYMWT}

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	2026-05-18T03:50:34.823362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5856ef3ad7dd73d5359ba83d370cb4f10b69c8ad4af85b5862e8ec068a2b34

Aliases

arxiv: 1207.4897 · arxiv_version: 1207.4897v1 · doi: 10.48550/arxiv.1207.4897 · pith_short_12: HRMFN3Z227OX · pith_short_16: HRMFN3Z227OXHVJV · pith_short_8: HRMFN3Z2

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/HRMFN3Z227OXHVJVTOUD2NYMWT \
  | 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: 3c5856ef3ad7dd73d5359ba83d370cb4f10b69c8ad4af85b5862e8ec068a2b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e9642753405e27268eca0d6a89e200e3c4996c3d88665cdbe5bd4d74f3f7ce0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-20T10:01:55Z",
    "title_canon_sha256": "83ece4b4f91436a8b94015ded90c369d7774e1374641e6580fa1e1302b3baf67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4897",
    "kind": "arxiv",
    "version": 1
  }
}