Pith Number

pith:ESWEZWOU

pith:2010:ESWEZWOUQUORHD7SSVMGT67FLC

not attested not anchored not stored refs pending

Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case

Carlos Kenig, Frank Merle (AGM), Thomas Duyckaerts (AGM)

arxiv:1003.0625 v5 · 2010-03-02 · 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{ESWEZWOUQUORHD7SSVMGT67FLC}

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	2026-05-18T03:08:14.979372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24ac4cd9d4851d138ff2955869fbe5589e61da9c688be98e51648667b0af644e

Aliases

arxiv: 1003.0625 · arxiv_version: 1003.0625v5 · doi: 10.48550/arxiv.1003.0625 · pith_short_12: ESWEZWOUQUOR · pith_short_16: ESWEZWOUQUORHD7S · pith_short_8: ESWEZWOU

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/ESWEZWOUQUORHD7SSVMGT67FLC \
  | 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: 24ac4cd9d4851d138ff2955869fbe5589e61da9c688be98e51648667b0af644e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1d62128dd5a98c553bf1b39f47fd53923fed41531254d068f0cecce48b5730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-02T16:32:46Z",
    "title_canon_sha256": "b0bffca1d575c9310dcd7f14c8c6f2b7d33edcab5e66b82259d256bdb1c34f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0625",
    "kind": "arxiv",
    "version": 5
  }
}