Pith Number

pith:WCFXNAS2

pith:2012:WCFXNAS272A36HVT5QXLHLF4YL

not attested not anchored not stored refs pending

Multiple solutions to nonlinear Schr\"odinger equations with singular electromagnetic potential

Andrzej Szulkin, M\'onica Clapp

arxiv:1212.5555 v1 · 2012-12-21 · 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{WCFXNAS272A36HVT5QXLHLF4YL}

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	2026-05-18T03:37:54.053122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b08b76825afe81bf1eb3ec2eb3acbcc2cb244c17f32802cefc4b8c32fb978a04

Aliases

arxiv: 1212.5555 · arxiv_version: 1212.5555v1 · doi: 10.48550/arxiv.1212.5555 · pith_short_12: WCFXNAS272A3 · pith_short_16: WCFXNAS272A36HVT · pith_short_8: WCFXNAS2

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/WCFXNAS272A36HVT5QXLHLF4YL \
  | 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: b08b76825afe81bf1eb3ec2eb3acbcc2cb244c17f32802cefc4b8c32fb978a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08624dd3bc4815d6461887aec0ab305971b7276fcef63bf4a68f603fb1c2dd67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-21T18:57:13Z",
    "title_canon_sha256": "6a58e47043c38031197208882aa2bffdef335a3046720823fbd5597004990bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5555",
    "kind": "arxiv",
    "version": 1
  }
}