Pith Number

pith:UOFXT6EB

pith:2015:UOFXT6EBVOXPNAUPVXCESC3BO7

not attested not anchored not stored refs pending

Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application

Bruno Volzone, Juan Luis Vazquez, Yannick Sire

arxiv:1506.07199 v1 · 2015-06-23 · 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{UOFXT6EBVOXPNAUPVXCESC3BO7}

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	2026-05-18T01:39:54.626371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a38b79f881abaef6828fadc4490b6177fd7bc773eec2050491845583e4a4b541

Aliases

arxiv: 1506.07199 · arxiv_version: 1506.07199v1 · doi: 10.48550/arxiv.1506.07199 · pith_short_12: UOFXT6EBVOXP · pith_short_16: UOFXT6EBVOXPNAUP · pith_short_8: UOFXT6EB

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/UOFXT6EBVOXPNAUPVXCESC3BO7 \
  | 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: a38b79f881abaef6828fadc4490b6177fd7bc773eec2050491845583e4a4b541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb760e1cdf4a58bdfb24a8a4e5a74902bf9d7d4ecd740356996df30297b68242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-23T21:12:20Z",
    "title_canon_sha256": "72bc7e81468eb0b694d8d45fac64ec3a3b2e44c9549d99a66b26a74f060efcc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07199",
    "kind": "arxiv",
    "version": 1
  }
}