Pith Number

pith:VJOKUHQF

pith:2015:VJOKUHQFE6JKC5I62WXJJ6ILYN

not attested not anchored not stored refs pending

Standing waves for a gauged nonlinear Schr\"{o}dinger equation with a vortex point

Alessio Pomponio, David Ruiz, Yongsheng Jiang

arxiv:1502.05867 v1 · 2015-02-20 · 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{VJOKUHQFE6JKC5I62WXJJ6ILYN}

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	2026-05-18T01:26:10.612723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5caa1e052792a1751ed5ae94f90bc342a495dc29eaeabbdb4bd4200218f269

Aliases

arxiv: 1502.05867 · arxiv_version: 1502.05867v1 · doi: 10.48550/arxiv.1502.05867 · pith_short_12: VJOKUHQFE6JK · pith_short_16: VJOKUHQFE6JKC5I6 · pith_short_8: VJOKUHQF

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/VJOKUHQFE6JKC5I62WXJJ6ILYN \
  | 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: aa5caa1e052792a1751ed5ae94f90bc342a495dc29eaeabbdb4bd4200218f269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8c013ef3717fb54f0fcb993dd4a2e507e4699c5cee5ed1054dfcf73f6fcce0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T13:32:18Z",
    "title_canon_sha256": "e2e707d2fe3fd5b15a0bd4656043697939dbcc7939c51506ca44c0bfac60d8c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05867",
    "kind": "arxiv",
    "version": 1
  }
}