Pith Number

pith:AI7KNN2I

pith:2015:AI7KNN2ITLBBXAMJSUQRBSYK2K

not attested not anchored not stored refs pending

Blow-up analysis of a nonlocal Liouville-type equation

Francesca Da Lio, Luca Martinazzi, Tristan Rivi\`ere

arxiv:1503.08701 v1 · 2015-03-30 · math.DG · math.AP · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AI7KNN2ITLBBXAMJSUQRBSYK2K}

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	2026-05-18T01:22:21.285451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023ea6b7489ac21b8189952110cb0ad2822b85d02e714970eb557aa5fc382c66

Aliases

arxiv: 1503.08701 · arxiv_version: 1503.08701v1 · doi: 10.48550/arxiv.1503.08701 · pith_short_12: AI7KNN2ITLBB · pith_short_16: AI7KNN2ITLBBXAMJ · pith_short_8: AI7KNN2I

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/AI7KNN2ITLBBXAMJSUQRBSYK2K \
  | 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: 023ea6b7489ac21b8189952110cb0ad2822b85d02e714970eb557aa5fc382c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a5961544b0f403ce294e89f412c96bb8e06ffe2f6d135db8bad7055d069443",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-30T15:08:42Z",
    "title_canon_sha256": "3aa38ecd2c4e9dc0c72cc1af89062a6e2d67d92838964fd15884ee138b0bc278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08701",
    "kind": "arxiv",
    "version": 1
  }
}