Pith Number

pith:GUDD3LES

pith:2011:GUDD3LESMP3Y22PMH5SRD5CPG6

not attested not anchored not stored refs pending

Blow-up analysis for some mean field equations involving probability measures from statistical hydrodynamics

Gabriella Zecca, Tonia Ricciardi

arxiv:1109.5001 v1 · 2011-09-23 · 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{GUDD3LESMP3Y22PMH5SRD5CPG6}

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	2026-05-18T04:12:31.755362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35063dac9263f78d69ec3f6511f44f37bb701662a6a1cfc869d4275c2929c6d4

Aliases

arxiv: 1109.5001 · arxiv_version: 1109.5001v1 · doi: 10.48550/arxiv.1109.5001 · pith_short_12: GUDD3LESMP3Y · pith_short_16: GUDD3LESMP3Y22PM · pith_short_8: GUDD3LES

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/GUDD3LESMP3Y22PMH5SRD5CPG6 \
  | 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: 35063dac9263f78d69ec3f6511f44f37bb701662a6a1cfc869d4275c2929c6d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c586347cf45cc28f5a30dcc34923d82f0382654062118ee9c9e5f50b8f2bbfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-23T05:37:53Z",
    "title_canon_sha256": "544a6979e94ae4fa809deeb95dc18abae9de89240d8e33738e11c7e0839ef892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5001",
    "kind": "arxiv",
    "version": 1
  }
}