Pith Number

pith:PX65FW3X

pith:2018:PX65FW3XPE3HWHLMTJ6VN6WDIJ

not attested not anchored not stored refs pending

Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds

Fabio Punzo, Gabriele Grillo, Matteo Muratori

arxiv:1804.02078 v1 · 2018-04-05 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PX65FW3XPE3HWHLMTJ6VN6WDIJ}

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	2026-05-18T00:19:07.926258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dfdd2db7779367b1d6c9a7d56fac34279f6e306747fcc8c1592e51bfabcba3b

Aliases

arxiv: 1804.02078 · arxiv_version: 1804.02078v1 · doi: 10.48550/arxiv.1804.02078 · pith_short_12: PX65FW3XPE3H · pith_short_16: PX65FW3XPE3HWHLM · pith_short_8: PX65FW3X

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/PX65FW3XPE3HWHLMTJ6VN6WDIJ \
  | 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: 7dfdd2db7779367b1d6c9a7d56fac34279f6e306747fcc8c1592e51bfabcba3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a014da2d78841a36f5854cf716b73be1d89e5ea49accc62a59bea528b4e345ee",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-05T23:20:09Z",
    "title_canon_sha256": "12eb9756f2a1cd261965fe5d749a391298f95fb413f12ce721cd741f47d8641c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02078",
    "kind": "arxiv",
    "version": 1
  }
}