Pith Number

pith:SOINQRE7

pith:2010:SOINQRE7BD43V63XVW55SFQ2XC

not attested not anchored not stored refs pending

Vortex Collapse for the L2-Critical Nonlinear Schr\"odinger Equation

Gideon Simpson, Ian Zwiers

arxiv:1010.5864 v1 · 2010-10-28 · 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{SOINQRE7BD43V63XVW55SFQ2XC}

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	2026-05-18T04:38:15.027951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9390d8449f08f9bafb77adbbd9161ab89bfdc8aa71060c05fff49a22760a73d0

Aliases

arxiv: 1010.5864 · arxiv_version: 1010.5864v1 · doi: 10.48550/arxiv.1010.5864 · pith_short_12: SOINQRE7BD43 · pith_short_16: SOINQRE7BD43V63X · pith_short_8: SOINQRE7

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/SOINQRE7BD43V63XVW55SFQ2XC \
  | 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: 9390d8449f08f9bafb77adbbd9161ab89bfdc8aa71060c05fff49a22760a73d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa058f518d4009141a6e34e19132e0373b64eaf2f10f0c3de78f07a531ee3ad5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-28T05:31:45Z",
    "title_canon_sha256": "6984fd67c3392c61e4afa7e6fd90c76f96d19344deade553c57e03ac1de12951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5864",
    "kind": "arxiv",
    "version": 1
  }
}