Pith Number

pith:BPQAX4EN

pith:2019:BPQAX4ENJV2QRLCCBOKKNNJZFR

not attested not anchored not stored refs pending

Entire and ancient solutions of a supercritical semilinear heat equation

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

arxiv:1907.07873 v1 · 2019-07-18 · 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{BPQAX4ENJV2QRLCCBOKKNNJZFR}

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	2026-05-17T23:40:15.877499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be00bf08d4d7508ac420b94a6b5392c76fb9b96b0b58f5c730f910561f65a32

Aliases

arxiv: 1907.07873 · arxiv_version: 1907.07873v1 · doi: 10.48550/arxiv.1907.07873 · pith_short_12: BPQAX4ENJV2Q · pith_short_16: BPQAX4ENJV2QRLCC · pith_short_8: BPQAX4EN

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/BPQAX4ENJV2QRLCCBOKKNNJZFR \
  | 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: 0be00bf08d4d7508ac420b94a6b5392c76fb9b96b0b58f5c730f910561f65a32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ddc70720dd7ccf0bb30c6cdcb4b5a88b16871fae7b8389f3d1b217945cef3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-18T05:00:20Z",
    "title_canon_sha256": "5addb7ec313ffda37dc45b029a0a0315ff73744c792ba1010f6a04eb2d0bb3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07873",
    "kind": "arxiv",
    "version": 1
  }
}