pith. sign in
Pith Number

pith:JHZNJGVH

pith:2011:JHZNJGVHBMHB46YA3HVGZLAKZ6
not attested not anchored not stored refs pending

Positivity, decay, and extinction for a singular diffusion equation with gradient absorption

IMAR), Philippe Laurencot (IMT), Razvan Gabriel Iagar (IMT

arxiv:1104.1513 v1 · 2011-04-08 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JHZNJGVHBMHB46YA3HVGZLAKZ6}

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 2026-05-18T04:01:23.284913Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

49f2d49aa70b0e1e7b00d9ea6cac0acfa891d5ed6a372b21a664c411e3156a38

Aliases

arxiv: 1104.1513 · arxiv_version: 1104.1513v1 · doi: 10.48550/arxiv.1104.1513 · pith_short_12: JHZNJGVHBMHB · pith_short_16: JHZNJGVHBMHB46YA · pith_short_8: JHZNJGVH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JHZNJGVHBMHB46YA3HVGZLAKZ6 \
  | 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: 49f2d49aa70b0e1e7b00d9ea6cac0acfa891d5ed6a372b21a664c411e3156a38
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1dde2ecd5d412f7193522ed2d6fc7291e37391df6e17b575ab7391f5b5c6ac2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-08T08:03:16Z",
    "title_canon_sha256": "be0b9d56e5fc4acf7420e38d5ab0fa2e0d0ac1ca413cbec76cb58c93d06ece53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1513",
    "kind": "arxiv",
    "version": 1
  }
}