Pith Number

pith:TK5WNYRV

pith:2023:TK5WNYRVADRXGKHXEF2CENEN32

not attested not anchored not stored refs pending

Energy transfer and radiation in Hamiltonian nonlinear Klein-Gordon equations: general case

Jie Liu, Zhaojie Yang, Zhen Lei

arxiv:2307.16191 v1 · 2023-07-30 · 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{TK5WNYRVADRXGKHXEF2CENEN32}

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	2026-07-05T06:35:59.927173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abb66e23500e37328f7217422348ddea1d81a389cabc0d7bc0b3972d99c35c1

Aliases

arxiv: 2307.16191 · arxiv_version: 2307.16191v1 · doi: 10.48550/arxiv.2307.16191 · pith_short_12: TK5WNYRVADRX · pith_short_16: TK5WNYRVADRXGKHX · pith_short_8: TK5WNYRV

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/TK5WNYRVADRXGKHXEF2CENEN32 \
  | 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: 9abb66e23500e37328f7217422348ddea1d81a389cabc0d7bc0b3972d99c35c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86baeae36a3fd7b564274aff558ebc91c63347097c645c9bdef8d6194c22d9e3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-07-30T10:10:58Z",
    "title_canon_sha256": "ae0346bcfc838e154cca7874dd7e31ec92a0816b02ef791de30153a59d5a3b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.16191",
    "kind": "arxiv",
    "version": 1
  }
}