Pith Number

pith:XIP26WRN

pith:2017:XIP26WRNL7MC2AUHTI4UI6Y3QK

not attested not anchored not stored refs pending

Global, decaying solutions of a focusing energy-critical heat equation in $\mathbb{R}^4$

Dimitrios Roxanas, Stephen Gustafson

arxiv:1707.07644 v1 · 2017-07-24 · 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{XIP26WRNL7MC2AUHTI4UI6Y3QK}

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	2026-05-18T00:39:41.524602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1faf5a2d5fd82d02879a39447b1b82a007d6355f84f7d3d47085b4a491d7af

Aliases

arxiv: 1707.07644 · arxiv_version: 1707.07644v1 · doi: 10.48550/arxiv.1707.07644 · pith_short_12: XIP26WRNL7MC · pith_short_16: XIP26WRNL7MC2AUH · pith_short_8: XIP26WRN

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/XIP26WRNL7MC2AUHTI4UI6Y3QK \
  | 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: ba1faf5a2d5fd82d02879a39447b1b82a007d6355f84f7d3d47085b4a491d7af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0cf1ed59c8bd4579a30b393ac196078bdc45a58eb35f563db86feaad209b929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-24T17:00:25Z",
    "title_canon_sha256": "8b125db64be1a57312d4b925789541de071ca9182fd95016705925d464a4673d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07644",
    "kind": "arxiv",
    "version": 1
  }
}