Pith Number

pith:TLL34PFM

pith:2012:TLL34PFM3C5UHCLWWCUHT6BCC4

not attested not anchored not stored refs pending

Finite range decomposition for families of gradient Gaussian measures

Roman Koteck\'y, Stefan Adams, Stefan M\"uller

arxiv:1202.1158 v1 · 2012-02-06 · math-ph · math.AP · math.MP · 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{TLL34PFM3C5UHCLWWCUHT6BCC4}

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	2026-05-18T04:02:54.975113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad7be3cacd8bb438976b0a879f822173a401a9b70e26a25eae832a446d2e16b

Aliases

arxiv: 1202.1158 · arxiv_version: 1202.1158v1 · doi: 10.48550/arxiv.1202.1158 · pith_short_12: TLL34PFM3C5U · pith_short_16: TLL34PFM3C5UHCLW · pith_short_8: TLL34PFM

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/TLL34PFM3C5UHCLWWCUHT6BCC4 \
  | 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: 9ad7be3cacd8bb438976b0a879f822173a401a9b70e26a25eae832a446d2e16b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d291a62b2b5a2a9e48f0b50316e48edf00c659c31d9bbb9b9eb97fc4dbaac7",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-06T14:55:54Z",
    "title_canon_sha256": "69ac5413db819944227f9f93f76fe9a67fe43b1db64a4cb752be17e673a2de9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1158",
    "kind": "arxiv",
    "version": 1
  }
}