Pith Number

pith:QIKNMYFV

pith:2015:QIKNMYFVTP72MGABAEJGISTJ6J

not attested not anchored not stored refs pending

Isoperimetric, Sobolev, and eigenvalue inequalities via the Alexandroff-Bakelman-Pucci method: a survey

Xavier Cabre

arxiv:1507.04563 v3 · 2015-07-16 · 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{QIKNMYFVTP72MGABAEJGISTJ6J}

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	2026-05-18T01:29:53.875792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8214d660b59bffa618010112644a69f24540407ce076b078efe16d355a3a82c8

Aliases

arxiv: 1507.04563 · arxiv_version: 1507.04563v3 · doi: 10.48550/arxiv.1507.04563 · pith_short_12: QIKNMYFVTP72 · pith_short_16: QIKNMYFVTP72MGAB · pith_short_8: QIKNMYFV

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/QIKNMYFVTP72MGABAEJGISTJ6J \
  | 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: 8214d660b59bffa618010112644a69f24540407ce076b078efe16d355a3a82c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7242808e80c29961b9f51f155bda1f32d588d40f16e563b17169535d009ecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-16T13:32:33Z",
    "title_canon_sha256": "fb739ece7370f22bc8f63bc92739425bd406230c60419b1057023ef089be62e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04563",
    "kind": "arxiv",
    "version": 3
  }
}