Pith Number

pith:YA3E3NJJ

pith:2013:YA3E3NJJ6JSITACLTEDPI26T2Q

not attested not anchored not stored refs pending

Parabolic power concavity and parabolic boundary value problems

Kazuhiro Ishige, Paolo Salani

arxiv:1307.6482 v1 · 2013-07-24 · 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{YA3E3NJJ6JSITACLTEDPI26T2Q}

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	2026-05-18T03:17:36.384824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0364db529f26489804b9906f46bd3d4269bf452a53a2c51fbbca442b611ae62

Aliases

arxiv: 1307.6482 · arxiv_version: 1307.6482v1 · doi: 10.48550/arxiv.1307.6482 · pith_short_12: YA3E3NJJ6JSI · pith_short_16: YA3E3NJJ6JSITACL · pith_short_8: YA3E3NJJ

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/YA3E3NJJ6JSITACLTEDPI26T2Q \
  | 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: c0364db529f26489804b9906f46bd3d4269bf452a53a2c51fbbca442b611ae62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6e6ce0d758884a53b559ab4c25a80f8271ca6eadb450d820cb5fc847fd921c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-24T16:41:27Z",
    "title_canon_sha256": "4211623ed94d41eaf9174c1e392cedf8cfe4912b0ae103e73f380d62cc21ccfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6482",
    "kind": "arxiv",
    "version": 1
  }
}