Pith Number

pith:PQJN3J2Z

pith:2011:PQJN3J2ZGP56VWBD26UQEDDCHG

not attested not anchored not stored refs pending

Blowup for the Damped $L^{2}$-Critical Nonlinear Schr\"odinger Equation

Mohamad Darwich

arxiv:1101.2763 v3 · 2011-01-14 · 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{PQJN3J2ZGP56VWBD26UQEDDCHG}

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	2026-05-18T03:51:58.716599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c12dda75933fbead823d7a9020c62399eff1fdc680f67803fc7a7c40bc49916

Aliases

arxiv: 1101.2763 · arxiv_version: 1101.2763v3 · doi: 10.48550/arxiv.1101.2763 · pith_short_12: PQJN3J2ZGP56 · pith_short_16: PQJN3J2ZGP56VWBD · pith_short_8: PQJN3J2Z

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/PQJN3J2ZGP56VWBD26UQEDDCHG \
  | 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: 7c12dda75933fbead823d7a9020c62399eff1fdc680f67803fc7a7c40bc49916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8046dc548247078d543cf2fad7e65fbc76f2b01ec4954fada0472a96e559fefa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-14T10:42:31Z",
    "title_canon_sha256": "7a91f06125633fc9dca679d2b9098844f626b7c17d64db81a71914dbaec09f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2763",
    "kind": "arxiv",
    "version": 3
  }
}