Pith Number

pith:7W226AQC

pith:2014:7W226AQC4KDTWD6KYQKXCEMKOK

not attested not anchored not stored refs pending

Sobolev regularity for the first order Hamilton-Jacobi equation

Alessio Porretta, Daniela Tonon, Pierre Cardaliaguet

arxiv:1411.0227 v1 · 2014-11-02 · 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{7W226AQC4KDTWD6KYQKXCEMKOK}

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	2026-05-18T02:38:52.236875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb5af0202e2873b0fcac41571118a72b2b596332af4ad485cd2ebfc5fda64c5

Aliases

arxiv: 1411.0227 · arxiv_version: 1411.0227v1 · doi: 10.48550/arxiv.1411.0227 · pith_short_12: 7W226AQC4KDT · pith_short_16: 7W226AQC4KDTWD6K · pith_short_8: 7W226AQC

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/7W226AQC4KDTWD6KYQKXCEMKOK \
  | 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: fdb5af0202e2873b0fcac41571118a72b2b596332af4ad485cd2ebfc5fda64c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2934d890e017e6e0d9c0dd2d1befa159e654325ad58a3b20378b564b1f3df7ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-02T08:47:38Z",
    "title_canon_sha256": "c29c6710ea9de5cd7c71f6fb64c267f42a50ef04a91e37a2a38d7e22e29837e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0227",
    "kind": "arxiv",
    "version": 1
  }
}