Pith Number

pith:K4PYF6BM

pith:2013:K4PYF6BM53OKSYAR3R5VTUKCIU

not attested not anchored not stored refs pending

Stability estimate and the Aharonov-Bohm effect for the Klein-Gordon equation with time-dependent vector potentials

Alden Waters, Ricardo Salazar

arxiv:1312.1288 v2 · 2013-12-04 · 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{K4PYF6BM53OKSYAR3R5VTUKCIU}

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	2026-05-18T03:05:17.625237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571f82f82ceedca96011dc7b59d142453f8fdf4ad358a9bfce5ee8169e167ce0

Aliases

arxiv: 1312.1288 · arxiv_version: 1312.1288v2 · doi: 10.48550/arxiv.1312.1288 · pith_short_12: K4PYF6BM53OK · pith_short_16: K4PYF6BM53OKSYAR · pith_short_8: K4PYF6BM

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/K4PYF6BM53OKSYAR3R5VTUKCIU \
  | 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: 571f82f82ceedca96011dc7b59d142453f8fdf4ad358a9bfce5ee8169e167ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711b033d22bcc4290661161e6abb3634183f2edea03d6f06665e3d9a4032439f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-04T19:25:06Z",
    "title_canon_sha256": "b9d3bc9457d926188f98092b91b2486e94deac536b39b6ca1bcf2b4d61929d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1288",
    "kind": "arxiv",
    "version": 2
  }
}