Pith Number

pith:7VOPM4XS

pith:2010:7VOPM4XSQAZNHGGOF7DJUAYKAN

not attested not anchored not stored refs pending

Fast diffusion equations: matching large time asymptotics by relative entropy methods

Giuseppe Toscani, Jean Dolbeault (CEREMADE)

arxiv:1005.1994 v2 · 2010-05-12 · 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{7VOPM4XSQAZNHGGOF7DJUAYKAN}

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	2026-05-18T04:06:08.179244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5cf672f28032d398ce2fc69a030a03455c3c29f1658abec2a2256c14050fec

Aliases

arxiv: 1005.1994 · arxiv_version: 1005.1994v2 · doi: 10.48550/arxiv.1005.1994 · pith_short_12: 7VOPM4XSQAZN · pith_short_16: 7VOPM4XSQAZNHGGO · pith_short_8: 7VOPM4XS

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/7VOPM4XSQAZNHGGOF7DJUAYKAN \
  | 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: fd5cf672f28032d398ce2fc69a030a03455c3c29f1658abec2a2256c14050fec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c858e6a08736db6a6f14f7bb99a2b816785327cea9e2d5b9fff21963d063d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-12T06:47:51Z",
    "title_canon_sha256": "003679ec0487cf4c8c1f827db5be8f4600f29c61189aafa2651c418505032d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1994",
    "kind": "arxiv",
    "version": 2
  }
}