Pith Number

pith:VNCFYMBD

pith:2013:VNCFYMBD77GZV5CFGQJCYZKOMD

not attested not anchored not stored refs pending

The Klein-Gordon Equation on ${\mathbb Z}^2$ and the Quantum Harmonic Lattice

Michael Goldberg, Vita Borovyk

arxiv:1304.6353 v3 · 2013-04-23 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNCFYMBD77GZV5CFGQJCYZKOMD}

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	2026-05-18T02:19:08.660839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab445c3023ffcd9af44534122c654e60e03bb35546ece79f4d22d3e44fd705d0

Aliases

arxiv: 1304.6353 · arxiv_version: 1304.6353v3 · doi: 10.48550/arxiv.1304.6353 · pith_short_12: VNCFYMBD77GZ · pith_short_16: VNCFYMBD77GZV5CF · pith_short_8: VNCFYMBD

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/VNCFYMBD77GZV5CFGQJCYZKOMD \
  | 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: ab445c3023ffcd9af44534122c654e60e03bb35546ece79f4d22d3e44fd705d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d783705383bd50204ac6f84edc27e88b1277a8d82d609657c06e6d3ec761d1c4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-23T17:19:06Z",
    "title_canon_sha256": "4d39cc4744b24c615bad6cb419f4f07d948378ea29d4a9cffae630759ef1bd81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6353",
    "kind": "arxiv",
    "version": 3
  }
}