Pith Number

pith:H53RT26A

pith:2018:H53RT26ACN3FKVKIKDFXBZWDCB

not attested not anchored not stored refs pending

Type II blow-up in the 5-dimensional energy critical heat equation

Juncheng Wei, Manuel del Pino, Monica Musso

arxiv:1808.10637 v2 · 2018-08-31 · 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{H53RT26ACN3FKVKIKDFXBZWDCB}

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	2026-05-18T00:06:36.460631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7719ebc0137655554850cb70e6c31046e16e2d8826a7aac2168627d25ce766

Aliases

arxiv: 1808.10637 · arxiv_version: 1808.10637v2 · doi: 10.48550/arxiv.1808.10637 · pith_short_12: H53RT26ACN3F · pith_short_16: H53RT26ACN3FKVKI · pith_short_8: H53RT26A

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/H53RT26ACN3FKVKIKDFXBZWDCB \
  | 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: 3f7719ebc0137655554850cb70e6c31046e16e2d8826a7aac2168627d25ce766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75583b6d66f45053f0d4579b374dec702d706441dc01f2a5800820ac8dfd769b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-31T08:55:18Z",
    "title_canon_sha256": "d45ff5a55d731f262f1ae67eec0659cf4f3835f2d643171fd7641364bc5667fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10637",
    "kind": "arxiv",
    "version": 2
  }
}