Pith Number

pith:GGZ3AM45

pith:2013:GGZ3AM45TVSUD2ADY6ANC2S3XT

not attested not anchored not stored refs pending

Optimal estimates for Fractional Fast diffusion equations

Bruno Volzone, Juan Luis V\'azquez

arxiv:1310.3218 v1 · 2013-10-11 · 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{GGZ3AM45TVSUD2ADY6ANC2S3XT}

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	2026-05-18T03:10:44.614049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b3b0339d9d6541e803c780d16a5bbcf35fc6b6e8dcdfb96fb654598d9936c7

Aliases

arxiv: 1310.3218 · arxiv_version: 1310.3218v1 · doi: 10.48550/arxiv.1310.3218 · pith_short_12: GGZ3AM45TVSU · pith_short_16: GGZ3AM45TVSUD2AD · pith_short_8: GGZ3AM45

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/GGZ3AM45TVSUD2ADY6ANC2S3XT \
  | 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: 31b3b0339d9d6541e803c780d16a5bbcf35fc6b6e8dcdfb96fb654598d9936c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8146cf409a2bb0b4cb71feefdf3fab85f093302778d2a6cd5d1abb0ba2c4a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-11T17:43:27Z",
    "title_canon_sha256": "62887a037d3956f094495c35ca41d9c73a5355bdfb1dc7255d5b4f0f712f4a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3218",
    "kind": "arxiv",
    "version": 1
  }
}