Pith Number

pith:5SLCMLZH

pith:2012:5SLCMLZHPLGT2D2BSMZLDWODI6

not attested not anchored not stored refs pending

Profiles of bounded radial solutions of the focusing, energy-critical wave equation

Carlos Kenig, Frank Merle, Thomas Duyckaerts

arxiv:1201.4986 v2 · 2012-01-24 · 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{5SLCMLZHPLGT2D2BSMZLDWODI6}

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	2026-05-18T01:36:31.889210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec96262f277acd3d0f419332b1d9c347ab83b0f2ee47fd39732e44f8b0d06eaf

Aliases

arxiv: 1201.4986 · arxiv_version: 1201.4986v2 · doi: 10.48550/arxiv.1201.4986 · pith_short_12: 5SLCMLZHPLGT · pith_short_16: 5SLCMLZHPLGT2D2B · pith_short_8: 5SLCMLZH

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/5SLCMLZHPLGT2D2BSMZLDWODI6 \
  | 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: ec96262f277acd3d0f419332b1d9c347ab83b0f2ee47fd39732e44f8b0d06eaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f333b53ae621faefc4836144fc6f78180f72f9dc90c6c22ace06f52797c99d02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-24T14:33:59Z",
    "title_canon_sha256": "aa14b01160d835368bd569a67c7c912d0b161453532d35948ee4842a9928363b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4986",
    "kind": "arxiv",
    "version": 2
  }
}