Pith Number

pith:JDS7K2PX

pith:2012:JDS7K2PXQ7LOFFFI5QHFUHNMIB

not attested not anchored not stored refs pending

Regularity of the extremal solutions for the Liouville system

Alberto Farina (LAMFA), Boyan Sirakov (MODAL'X), Louis Dupaigne (LAMFA)

arxiv:1207.3703 v1 · 2012-07-16 · 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{JDS7K2PXQ7LOFFFI5QHFUHNMIB}

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	2026-05-18T03:50:59.748439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48e5f569f787d6e294a8ec0e5a1dac40722063f865aec767ef33da740964bd1b

Aliases

arxiv: 1207.3703 · arxiv_version: 1207.3703v1 · doi: 10.48550/arxiv.1207.3703 · pith_short_12: JDS7K2PXQ7LO · pith_short_16: JDS7K2PXQ7LOFFFI · pith_short_8: JDS7K2PX

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/JDS7K2PXQ7LOFFFI5QHFUHNMIB \
  | 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: 48e5f569f787d6e294a8ec0e5a1dac40722063f865aec767ef33da740964bd1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b290b8a571acffddfde84341583f590997f72534f483a4345d9bee48deee781",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-16T15:02:09Z",
    "title_canon_sha256": "1265e97207da04f507405b574fc6a978e77b10cb80bbe7260a1b50ee0b67a276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3703",
    "kind": "arxiv",
    "version": 1
  }
}