Pith Number

pith:AW72UQVH

pith:2019:AW72UQVHZVJSQBAEFNVWKMGZ33

not attested not anchored not stored refs pending

On the multiplicity of self-similar solutions of the semilinear heat equation

Pavol Quittner, Peter Pol\'a\v{c}ik

arxiv:1906.11159 v1 · 2019-06-26 · 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{AW72UQVHZVJSQBAEFNVWKMGZ33}

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.

Cited by

1 paper in Pith

Entire and ancient solutions of a supercritical semilinear heat equation

Receipt and verification

First computed	2026-05-17T23:42:09.620748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05bfaa42a7cd532804042b6b6530d9def833dc6c51ff2a062b30500774bf39d8

Aliases

arxiv: 1906.11159 · arxiv_version: 1906.11159v1 · doi: 10.48550/arxiv.1906.11159 · pith_short_12: AW72UQVHZVJS · pith_short_16: AW72UQVHZVJSQBAE · pith_short_8: AW72UQVH

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/AW72UQVHZVJSQBAEFNVWKMGZ33 \
  | 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: 05bfaa42a7cd532804042b6b6530d9def833dc6c51ff2a062b30500774bf39d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c3ee5a6bd503d02fd0640d3bfd72a915dd81d48da046ab4fc5900008c91b317",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-26T15:24:10Z",
    "title_canon_sha256": "4dc5ee720b2698cb5595dce1932f842d8a2433766b46b9b02f875846d312915b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11159",
    "kind": "arxiv",
    "version": 1
  }
}