Pith Number

pith:VJGMBUFF

pith:2014:VJGMBUFFTJ4FEKWWVEBPTV7AJV

not attested not anchored not stored refs pending

On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density

Fabio Punzo, Gabriele Grillo, Matteo Muratori

arxiv:1403.5293 v2 · 2014-03-20 · 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{VJGMBUFFTJ4FEKWWVEBPTV7AJV}

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	2026-05-18T02:33:25.392057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa4cc0d0a59a78522ad6a902f9d7e04d72f203ca2aba9979c258cea301b0b837

Aliases

arxiv: 1403.5293 · arxiv_version: 1403.5293v2 · doi: 10.48550/arxiv.1403.5293 · pith_short_12: VJGMBUFFTJ4F · pith_short_16: VJGMBUFFTJ4FEKWW · pith_short_8: VJGMBUFF

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/VJGMBUFFTJ4FEKWWVEBPTV7AJV \
  | 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: aa4cc0d0a59a78522ad6a902f9d7e04d72f203ca2aba9979c258cea301b0b837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae5b6128b6d085863b16d73ea685eaa7266bbedd08d7e4b0c9008041ba86e02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-20T20:52:10Z",
    "title_canon_sha256": "15d017f869d2c91e60757cc975078bab9f9b87a4fc760e1d4d4d5a4519576f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5293",
    "kind": "arxiv",
    "version": 2
  }
}