Pith Number

pith:PVD4KJXF

pith:2011:PVD4KJXFSZHCLF6QVTZ57XFDV3

not attested not anchored not stored refs pending

Regularity of solutions to the parabolic fractional obstacle problem

Alessio Figalli, Luis Caffarelli

arxiv:1101.5170 v1 · 2011-01-26 · 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{PVD4KJXFSZHCLF6QVTZ57XFDV3}

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	2026-05-18T04:30:35.984981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d47c526e5964e2597d0acf3dfdca3aee544fbd524be2760ee91a5e54db9f597

Aliases

arxiv: 1101.5170 · arxiv_version: 1101.5170v1 · doi: 10.48550/arxiv.1101.5170 · pith_short_12: PVD4KJXFSZHC · pith_short_16: PVD4KJXFSZHCLF6Q · pith_short_8: PVD4KJXF

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/PVD4KJXFSZHCLF6QVTZ57XFDV3 \
  | 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: 7d47c526e5964e2597d0acf3dfdca3aee544fbd524be2760ee91a5e54db9f597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907e4b9850e4adbd72e712c6d2deb2deb8d6b89c3956a6a2cdfa0a05702bdbfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-26T21:36:27Z",
    "title_canon_sha256": "6793841bbb060f885dc7a8e5400906c66e85fd1256af0953d9d458ec6e4f8b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5170",
    "kind": "arxiv",
    "version": 1
  }
}