pith. sign in
Pith Number

pith:R2HJB5WM

pith:2012:R2HJB5WMNVEUDV7N27HJFRNZU5
not attested not anchored not stored refs pending

Sharp energy estimates for nonlinear fractional diffusion equations

Eleonora Cinti, Xavier Cabre

arxiv:1207.6194 v1 · 2012-07-26 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R2HJB5WMNVEUDV7N27HJFRNZU5}

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 2026-05-18T03:50:08.544656Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8e8e90f6cc6d4941d7edd7ce92c5b9a74f11d5d8b7146e9c70d331fc7d731200

Aliases

arxiv: 1207.6194 · arxiv_version: 1207.6194v1 · doi: 10.48550/arxiv.1207.6194 · pith_short_12: R2HJB5WMNVEU · pith_short_16: R2HJB5WMNVEUDV7N · pith_short_8: R2HJB5WM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R2HJB5WMNVEUDV7N27HJFRNZU5 \
  | 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: 8e8e90f6cc6d4941d7edd7ce92c5b9a74f11d5d8b7146e9c70d331fc7d731200
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "86a09e2b7ce27cff818c8505e1d97d2e31d32a40811eea6fe0be7650f7e1ee44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-26T08:02:06Z",
    "title_canon_sha256": "62a8686537fb1bbf09522353913a2c5ebd8ab54fdfff913b76e8a2b8ceac238d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6194",
    "kind": "arxiv",
    "version": 1
  }
}