Pith Number

pith:XFOQEUPN

pith:2006:XFOQEUPNZVOSOHSYPGMB42P7IX

not attested not anchored not stored refs pending

Optimal Regularity for a Class of Singular Abstract Parabolic Equations

Patrick Guidotti

arxiv:math/0610797 v1 · 2006-10-26 · 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{XFOQEUPNZVOSOHSYPGMB42P7IX}

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	2026-05-18T00:08:16.564960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95d0251edcd5d271e5879981e69ff45ed7a6ecd111f9ea2829c7d156345a0eb

Aliases

arxiv: math/0610797 · arxiv_version: math/0610797v1 · doi: 10.48550/arxiv.math/0610797 · pith_short_12: XFOQEUPNZVOS · pith_short_16: XFOQEUPNZVOSOHSY · pith_short_8: XFOQEUPN

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/XFOQEUPNZVOSOHSYPGMB42P7IX \
  | 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: b95d0251edcd5d271e5879981e69ff45ed7a6ecd111f9ea2829c7d156345a0eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9cc7440dd0dfe38a1eb80925268027c39db1aa3173881b11fac58210ba8039",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-10-26T16:13:29Z",
    "title_canon_sha256": "d9d6a4cfca668e491048f2806d9a427d0d84e3b292b07e2585bf1a7896f9c6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610797",
    "kind": "arxiv",
    "version": 1
  }
}