Pith Number

pith:667M6AWG

pith:2016:667M6AWGBEY577JNT4G4UVTCOB

not attested not anchored not stored refs pending

Optimal Existence and Uniqueness Theory for the Fractional Heat Equation

Juan Luis Vazquez, Matteo Bonforte, Yannick Sire

arxiv:1606.00873 v2 · 2016-06-02 · 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{667M6AWGBEY577JNT4G4UVTCOB}

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	2026-05-18T01:07:48.894473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7becf02c60931dffd2d9f0dca5662705730979afb93f29dc37d1433aa42aae5

Aliases

arxiv: 1606.00873 · arxiv_version: 1606.00873v2 · doi: 10.48550/arxiv.1606.00873 · pith_short_12: 667M6AWGBEY5 · pith_short_16: 667M6AWGBEY577JN · pith_short_8: 667M6AWG

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/667M6AWGBEY577JNT4G4UVTCOB \
  | 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: f7becf02c60931dffd2d9f0dca5662705730979afb93f29dc37d1433aa42aae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b2e861a50b7638cf640aa1bc88ffc515b85b33eeb6715323675d2608c5fc38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-02T20:55:43Z",
    "title_canon_sha256": "c722c6030fe1a1e3031a9b320ad1a14d48b91a134c8c111a623b2afae57e9344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00873",
    "kind": "arxiv",
    "version": 2
  }
}