Pith Number

pith:GVZZF5TZ

pith:2025:GVZZF5TZCVMW75FGJF2RXZ6J52

not attested not anchored not stored refs pending

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation

Fangzheng Huang, Yong Lu

arxiv:2509.08271 v1 · 2025-09-10 · 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{GVZZF5TZCVMW75FGJF2RXZ6J52}

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	2026-07-05T12:08:26.685184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

357392f67915596ff4a649751be7c9eeb8cdec9029bf7b2f682553bab7a92cb7

Aliases

arxiv: 2509.08271 · arxiv_version: 2509.08271v1 · doi: 10.48550/arxiv.2509.08271 · pith_short_12: GVZZF5TZCVMW · pith_short_16: GVZZF5TZCVMW75FG · pith_short_8: GVZZF5TZ

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/GVZZF5TZCVMW75FGJF2RXZ6J52 \
  | 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: 357392f67915596ff4a649751be7c9eeb8cdec9029bf7b2f682553bab7a92cb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd99a2265ed448a9c46f65ce8b71a15559b3fce635858897f26dc560e5a5c01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-10T04:16:32Z",
    "title_canon_sha256": "b063d02052ce5dd84d6fcafcc83e8d7024ab2e3e4132926bb0d157754d4a172d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08271",
    "kind": "arxiv",
    "version": 1
  }
}