Pith Number

pith:TCUXOQFI

pith:2009:TCUXOQFIIRMMAO2HRQAYWQWLQZ

not attested not anchored not stored refs pending

Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities

Gabriele Grillo, Jean Dolbeault (CEREMADE), Juan-Luis V\'azquez, Matteo Bonforte

arxiv:0907.2986 v1 · 2009-07-17 · 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{TCUXOQFIIRMMAO2HRQAYWQWLQZ}

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	2026-05-18T02:12:56.307276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a97740a84458c03b478c018b42cb865aae4d60b0b0483092fccf1b33b6e4a0

Aliases

arxiv: 0907.2986 · arxiv_version: 0907.2986v1 · doi: 10.48550/arxiv.0907.2986 · pith_short_12: TCUXOQFIIRMM · pith_short_16: TCUXOQFIIRMMAO2H · pith_short_8: TCUXOQFI

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/TCUXOQFIIRMMAO2HRQAYWQWLQZ \
  | 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: 98a97740a84458c03b478c018b42cb865aae4d60b0b0483092fccf1b33b6e4a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7902c5e9f726b82a40d03e023857468599c79e42bee5a933da4a4218f5c8f31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-07-17T06:25:10Z",
    "title_canon_sha256": "3b84d69ec4fa950d219ead0340d4e31915138c4f627dab95565b15e8c01924db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2986",
    "kind": "arxiv",
    "version": 1
  }
}