Pith Number

pith:7BFG4PI2

pith:2014:7BFG4PI2QBYGPU4NXASLKBUTVD

not attested not anchored not stored refs pending

Some remarks on the duality method for Integro-Differential equations with measure data

Francesco Petitta

arxiv:1409.8463 v3 · 2014-09-30 · 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{7BFG4PI2QBYGPU4NXASLKBUTVD}

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	2026-05-18T00:50:52.597654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f84a6e3d1a807067d38db824b50693a8cedc1da0546fba597b808c10d81cfb56

Aliases

arxiv: 1409.8463 · arxiv_version: 1409.8463v3 · doi: 10.48550/arxiv.1409.8463 · pith_short_12: 7BFG4PI2QBYG · pith_short_16: 7BFG4PI2QBYGPU4N · pith_short_8: 7BFG4PI2

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/7BFG4PI2QBYGPU4NXASLKBUTVD \
  | 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: f84a6e3d1a807067d38db824b50693a8cedc1da0546fba597b808c10d81cfb56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba25a8710489781e749dab33f3489c1fe155fa79de530364a6ac57b7b1fb9cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-30T10:22:47Z",
    "title_canon_sha256": "d0f3ad2a30f5d6f1f5a08d9652fb1c6ada7054a3cae603a0314b53d10502b488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8463",
    "kind": "arxiv",
    "version": 3
  }
}