Pith Number

pith:ISSDKKKG

pith:2016:ISSDKKKGZJNJ2XNKURI65T4GA2

not attested not anchored not stored refs pending

Green's function and infinite-time bubbling in the critical nonlinear heat equation

Carmen Cortazar, Manuel del Pino, Monica Musso

arxiv:1604.07117 v1 · 2016-04-25 · 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{ISSDKKKGZJNJ2XNKURI65T4GA2}

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

Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5

Receipt and verification

First computed	2026-05-18T01:16:22.969696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44a4352946ca5a9d5daaa451eecf86068a9ecb8cae319b6b42f8e8cebb8b76a4

Aliases

arxiv: 1604.07117 · arxiv_version: 1604.07117v1 · doi: 10.48550/arxiv.1604.07117 · pith_short_12: ISSDKKKGZJNJ · pith_short_16: ISSDKKKGZJNJ2XNK · pith_short_8: ISSDKKKG

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/ISSDKKKGZJNJ2XNKURI65T4GA2 \
  | 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: 44a4352946ca5a9d5daaa451eecf86068a9ecb8cae319b6b42f8e8cebb8b76a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc514f551bd4dbe358deb6ff673436e0c5acd942b925d4d2cf945bf837fd561",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-25T03:20:45Z",
    "title_canon_sha256": "ba7fb81f29d167e394a8da822c344a3b25c7da14737b2cdca065464caad3850e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07117",
    "kind": "arxiv",
    "version": 1
  }
}