Pith Number

pith:62N22GPY

pith:2012:62N22GPYMALRMUL6NLZ72GFXUG

not attested not anchored not stored refs pending

A solution to the focusing 3d NLS that blows up on a contracting sphere

Galina Perelman, Justin Holmer, Svetlana Roudenko

arxiv:1212.6236 v1 · 2012-12-26 · 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{62N22GPYMALRMUL6NLZ72GFXUG}

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	2026-05-18T03:37:42.349729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69bad19f8601716517e6af3fd18b7a1ba9c64881c05e2a6e8a567d56ca12f76

Aliases

arxiv: 1212.6236 · arxiv_version: 1212.6236v1 · doi: 10.48550/arxiv.1212.6236 · pith_short_12: 62N22GPYMALR · pith_short_16: 62N22GPYMALRMUL6 · pith_short_8: 62N22GPY

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/62N22GPYMALRMUL6NLZ72GFXUG \
  | 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: f69bad19f8601716517e6af3fd18b7a1ba9c64881c05e2a6e8a567d56ca12f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ea38f6f16e4f465d1a785cb4ad9758f35246d834c79c2534fadc091562b980",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-26T19:44:04Z",
    "title_canon_sha256": "d4d2d480e410a101ca603ec5138134376866df6f06848a471d644a1166c74cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6236",
    "kind": "arxiv",
    "version": 1
  }
}