Pith Number

pith:C74F7W2B

pith:2015:C74F7W2BPHLYAA4CDIRRLNR7BO

not attested not anchored not stored refs pending

$C^{2,\alpha}$ estimates and existence results for certain nonconcave PDE

Vamsi P. Pingali

arxiv:1504.00963 v1 · 2015-04-04 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C74F7W2BPHLYAA4CDIRRLNR7BO}

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	2026-05-18T02:19:35.459751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f85fdb4179d78003821a2315b63f0b82c44a97ef5cd4b5d9bc75a31ab7a412

Aliases

arxiv: 1504.00963 · arxiv_version: 1504.00963v1 · doi: 10.48550/arxiv.1504.00963 · pith_short_12: C74F7W2BPHLY · pith_short_16: C74F7W2BPHLYAA4C · pith_short_8: C74F7W2B

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/C74F7W2BPHLYAA4CDIRRLNR7BO \
  | 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: 17f85fdb4179d78003821a2315b63f0b82c44a97ef5cd4b5d9bc75a31ab7a412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63dc41a5d6fefe3e4adcdc54fafaac8b6cae358cd516bc61545491133b5894d3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-04T01:02:51Z",
    "title_canon_sha256": "b89b1b4157d4310aa11ba0af24e703c2d72b06f0e95be6e3fe5bc5dcbad42272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00963",
    "kind": "arxiv",
    "version": 1
  }
}