Pith Number

pith:QXOC5BDZ

pith:2016:QXOC5BDZ7M2ASJY2HL5WRD4YGN

not attested not anchored not stored refs pending

Symmetries, Lagrangians and conserved vectors for forms of the complex-valued Klein-Gordon Equation

A Paliathanasis, PGL Leach, RM Morris

arxiv:1601.07991 v2 · 2016-01-29 · 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{QXOC5BDZ7M2ASJY2HL5WRD4YGN}

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	2026-05-18T01:21:15.354303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85dc2e8479fb3409271a3afb688f98335c06ea94b561b853ac179e3fc7f4f740

Aliases

arxiv: 1601.07991 · arxiv_version: 1601.07991v2 · doi: 10.48550/arxiv.1601.07991 · pith_short_12: QXOC5BDZ7M2A · pith_short_16: QXOC5BDZ7M2ASJY2 · pith_short_8: QXOC5BDZ

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/QXOC5BDZ7M2ASJY2HL5WRD4YGN \
  | 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: 85dc2e8479fb3409271a3afb688f98335c06ea94b561b853ac179e3fc7f4f740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0270a4e4e4c6481c10f31dcbcf9763f9b0ff1e09cd09701e01a9f88f95fb3eed",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-29T07:38:35Z",
    "title_canon_sha256": "b8398d6447e7216e5cb3e57180e46a8e78ec5652ac0e9990da4de780a5e5f5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07991",
    "kind": "arxiv",
    "version": 2
  }
}