Pith Number

pith:SOX6KJIL

pith:2007:SOX6KJILCBXRGPYAMQ4TGO4VUJ

not attested not anchored not stored refs pending

Asymptotics of the fast diffusion equation via entropy estimates

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

arxiv:0704.2372 v1 · 2007-04-18 · 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{SOX6KJILCBXRGPYAMQ4TGO4VUJ}

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	2026-07-04T17:03:19.989911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93afe5250b106f133f006439333b95a27fdd5917c1bd4f07a5adf91487739168

Aliases

arxiv: 0704.2372 · arxiv_version: 0704.2372v1 · doi: 10.48550/arxiv.0704.2372 · pith_short_12: SOX6KJILCBXR · pith_short_16: SOX6KJILCBXRGPYA · pith_short_8: SOX6KJIL

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/SOX6KJILCBXRGPYAMQ4TGO4VUJ \
  | 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: 93afe5250b106f133f006439333b95a27fdd5917c1bd4f07a5adf91487739168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68032407a19a491340fe858dc8f48efc9ae7225280ff5b0576b7e8113006436e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-04-18T15:54:24Z",
    "title_canon_sha256": "de8c8d34edded03f09ad34e74ad72130dfc7b319fda12ba2ace1aab1b0765b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2372",
    "kind": "arxiv",
    "version": 1
  }
}