Pith Number

pith:LNPLRWOG

pith:2012:LNPLRWOGT3DQINT5N7GTO7SCMF

not attested not anchored not stored refs pending

An Existence Result for the Mean Field Equation on Compact Surfaces in a Doubly Supercritical Regime

Aleks Jevnikar

arxiv:1204.3290 v2 · 2012-04-15 · 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{LNPLRWOGT3DQINT5N7GTO7SCMF}

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	2026-05-18T02:56:19.458287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b5eb8d9c69ec704367d6fcd377e42614ae4ab28face2859d8b4cad01dd03ec1

Aliases

arxiv: 1204.3290 · arxiv_version: 1204.3290v2 · doi: 10.48550/arxiv.1204.3290 · pith_short_12: LNPLRWOGT3DQ · pith_short_16: LNPLRWOGT3DQINT5 · pith_short_8: LNPLRWOG

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/LNPLRWOGT3DQINT5N7GTO7SCMF \
  | 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: 5b5eb8d9c69ec704367d6fcd377e42614ae4ab28face2859d8b4cad01dd03ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b73fe8cc9f56226665e6b00d3e98e3bc3b3f63cf296530feee107c95a2c68cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-15T16:41:20Z",
    "title_canon_sha256": "5698eaa0fbaf7243cb47799b9dc5385c352851c4c3e6e6c8ec4a5058cf66b110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3290",
    "kind": "arxiv",
    "version": 2
  }
}