Pith Number

pith:OFSBAC77

pith:2013:OFSBAC77RKT7DC6WS6CWEYVI3K

not attested not anchored not stored refs pending

Supercritical Mean Field Equations on convex domains and the Onsager's statistical description of two-dimensional turbulence

Daniele Bartolucci, Francesca De Marchis

arxiv:1305.4112 v2 · 2013-05-17 · 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{OFSBAC77RKT7DC6WS6CWEYVI3K}

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	2026-05-18T02:30:55.198881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7164100bff8aa7f18bd697856262a8da8c12331cddfb185446de01b00d5ac6ac

Aliases

arxiv: 1305.4112 · arxiv_version: 1305.4112v2 · doi: 10.48550/arxiv.1305.4112 · pith_short_12: OFSBAC77RKT7 · pith_short_16: OFSBAC77RKT7DC6W · pith_short_8: OFSBAC77

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/OFSBAC77RKT7DC6WS6CWEYVI3K \
  | 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: 7164100bff8aa7f18bd697856262a8da8c12331cddfb185446de01b00d5ac6ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4298532ccc725b9d889057a8f482f11ff189fa1999ac092acef60b5dc13cb1bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-17T15:30:30Z",
    "title_canon_sha256": "9c68d8d36ed8078bd1a468db33d4b08f577a7a978a8bc6cafe276ce4a6755d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4112",
    "kind": "arxiv",
    "version": 2
  }
}