Pith Number

pith:FP264A26

pith:2016:FP264A263YUKTKV3EWDEA7S56M

not attested not anchored not stored refs pending

Spectral Gap for the Stochastic Quantization Equation on the 2-dimensional Torus

Hendrik Weber, Pavlos Tsatsoulis

arxiv:1609.08447 v1 · 2016-09-27 · math.PR · 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{FP264A263YUKTKV3EWDEA7S56M}

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	2026-05-18T01:03:45.840064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf5ee035ede28a9aabb2586407e5df311e3d9df373b07b27b7cae5de53b2b2f

Aliases

arxiv: 1609.08447 · arxiv_version: 1609.08447v1 · doi: 10.48550/arxiv.1609.08447 · pith_short_12: FP264A263YUK · pith_short_16: FP264A263YUKTKV3 · pith_short_8: FP264A26

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/FP264A263YUKTKV3EWDEA7S56M \
  | 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: 2bf5ee035ede28a9aabb2586407e5df311e3d9df373b07b27b7cae5de53b2b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "561dcd0ce322ccb28e4bda1318afcc9a43cfc450ffe4fa86ce04d3d5d5e142c0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-27T13:52:56Z",
    "title_canon_sha256": "f42dfee0b5fcd31df97c3ff36898b6565da6714cd4e0afc3a6ba7e561a39385b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08447",
    "kind": "arxiv",
    "version": 1
  }
}