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Pith Number

pith:DXIP7A5A

pith:2011:DXIP7A5A2SY66JMCAQBUAGKDNL
not attested not anchored not stored refs pending

Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption

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

arxiv:1107.1303 v1 · 2011-07-07 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DXIP7A5A2SY66JMCAQBUAGKDNL}

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 2026-05-18T03:14:50.423673Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1dd0ff83a0d4b1ef258204034019436ad56c74201288b6c83a5ac50bc5a52d51

Aliases

arxiv: 1107.1303 · arxiv_version: 1107.1303v1 · doi: 10.48550/arxiv.1107.1303 · pith_short_12: DXIP7A5A2SY6 · pith_short_16: DXIP7A5A2SY66JMC · pith_short_8: DXIP7A5A
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DXIP7A5A2SY66JMCAQBUAGKDNL \
  | 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: 1dd0ff83a0d4b1ef258204034019436ad56c74201288b6c83a5ac50bc5a52d51
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9b32121485a3aedff9c4d12d95f8386dd8bae526c02bcaec161fbb3bd5cef645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-07T06:06:14Z",
    "title_canon_sha256": "e5e5c20237d2f21f1dc80ee5a2b9f20f9061a3b61856593a7ae2c10fd8743b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1303",
    "kind": "arxiv",
    "version": 1
  }
}