Pith Number

pith:TRGK6UX3

pith:2022:TRGK6UX3RF6L2JFGH3QZB6V7F4

not attested not anchored not stored refs pending

On $1$d quadratic Klein-Gordon equations with a potential and symmetries

Fabio Pusateri, Katherine Zhiyuan Zhang, Pierre Germain

arxiv:2202.13273 v2 · 2022-02-27 · 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{TRGK6UX3RF6L2JFGH3QZB6V7F4}

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	2026-07-05T05:52:52.594847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4caf52fb897cbd24a63ee190fabf2f05dd67751b906893a32b6dcaf9bfd8b0

Aliases

arxiv: 2202.13273 · arxiv_version: 2202.13273v2 · doi: 10.48550/arxiv.2202.13273 · pith_short_12: TRGK6UX3RF6L · pith_short_16: TRGK6UX3RF6L2JFG · pith_short_8: TRGK6UX3

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/TRGK6UX3RF6L2JFGH3QZB6V7F4 \
  | 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: 9c4caf52fb897cbd24a63ee190fabf2f05dd67751b906893a32b6dcaf9bfd8b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb24551f247894bd1c748c555fb244ba65e9390880674f3201117c1831ae1721",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-02-27T02:32:46Z",
    "title_canon_sha256": "33b74857531af9f1e21abe12b41438402e9055e294c9bdfc8828604c5f6b5c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.13273",
    "kind": "arxiv",
    "version": 2
  }
}