Pith Number

pith:AR46AM4L

pith:2012:AR46AM4LSW5VUCKEX6KYRBTPX2

not attested not anchored not stored refs pending

Quantitative Local and Global A Priori Estimates for Fractional Nonlinear Diffusion Equations

Juan Luis Vazquez, Matteo Bonforte

arxiv:1210.2594 v3 · 2012-10-09 · 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{AR46AM4LSW5VUCKEX6KYRBTPX2}

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	2026-05-18T03:11:21.938927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0479e0338b95bb5a0944bf9588866fbea92969d10cfbd09c32ec5fb74c38d539

Aliases

arxiv: 1210.2594 · arxiv_version: 1210.2594v3 · doi: 10.48550/arxiv.1210.2594 · pith_short_12: AR46AM4LSW5V · pith_short_16: AR46AM4LSW5VUCKE · pith_short_8: AR46AM4L

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/AR46AM4LSW5VUCKEX6KYRBTPX2 \
  | 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: 0479e0338b95bb5a0944bf9588866fbea92969d10cfbd09c32ec5fb74c38d539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87456227e9f93a910d0c3873963b4261849d093b4f1081e44e7228cf419f10d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-09T13:39:06Z",
    "title_canon_sha256": "181df9034e08cd10fc748eb0ea1270ebb76c354d6f2d89785959072632895931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2594",
    "kind": "arxiv",
    "version": 3
  }
}