Pith Number

pith:E7EZ4XSU

pith:2019:E7EZ4XSUHQQTYECJXIFD23JAZC

not attested not anchored not stored refs pending

Non-uniqueness for an energy-critical heat equation on $\mathbb{R}^2$

Hiroaki Kikuchi, Juncheng Wei, Kenji Nakanishi, Slim Ibrahim

arxiv:1903.06729 v1 · 2019-03-15 · 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{E7EZ4XSUHQQTYECJXIFD23JAZC}

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	2026-05-17T23:51:09.191556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27c99e5e543c213c1049ba0a3d6d20c8b64413bd90a0c743e46cd59daa05a9ad

Aliases

arxiv: 1903.06729 · arxiv_version: 1903.06729v1 · doi: 10.48550/arxiv.1903.06729 · pith_short_12: E7EZ4XSUHQQT · pith_short_16: E7EZ4XSUHQQTYECJ · pith_short_8: E7EZ4XSU

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/E7EZ4XSUHQQTYECJXIFD23JAZC \
  | 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: 27c99e5e543c213c1049ba0a3d6d20c8b64413bd90a0c743e46cd59daa05a9ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baeb0b6159141103e8a007dc78095489aa5410fade65fe538c901821916ce7c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-15T18:20:54Z",
    "title_canon_sha256": "7649095c25cb4418817a40642ee2c59f785f5a440054f4edd15c682874cc2fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06729",
    "kind": "arxiv",
    "version": 1
  }
}