Pith Number

pith:FJ3FOLX3

pith:2015:FJ3FOLX36IVU3A2IBMBKZYATUQ

not attested not anchored not stored refs pending

Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds

Gabriele Grillo, Matteo Muratori

arxiv:1506.08216 v2 · 2015-06-26 · 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{FJ3FOLX36IVU3A2IBMBKZYATUQ}

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	2026-05-18T01:35:59.504542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a76572efbf22b4d83480b02ace013a407ada68c7c05be6b8b86c235d3e69511

Aliases

arxiv: 1506.08216 · arxiv_version: 1506.08216v2 · doi: 10.48550/arxiv.1506.08216 · pith_short_12: FJ3FOLX36IVU · pith_short_16: FJ3FOLX36IVU3A2I · pith_short_8: FJ3FOLX3

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/FJ3FOLX36IVU3A2IBMBKZYATUQ \
  | 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: 2a76572efbf22b4d83480b02ace013a407ada68c7c05be6b8b86c235d3e69511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330c07e338b78fb7a6928fb53145b0473a659fbb5cf5dbfcd427a6206de47b06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-26T21:07:44Z",
    "title_canon_sha256": "c35e9d6cf593c8618624ea80ef4d1c4a571b52139a1c217e678feab50f2dc893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08216",
    "kind": "arxiv",
    "version": 2
  }
}