Pith Number

pith:GERBJ5E7

pith:2011:GERBJ5E7UC7MZHQ4PCBDWHVCDT

not attested not anchored not stored refs pending

Global solutions of coupled Klein-Gordon equations with different velocities in four space-time dimensions

Yue Ma

arxiv:1111.3385 v3 · 2011-11-14 · 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{GERBJ5E7UC7MZHQ4PCBDWHVCDT}

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	2026-05-18T04:08:04.821598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

312214f49fa0becc9e1c78823b1ea21cd0077da86d3226cb0698e60753dbd8cd

Aliases

arxiv: 1111.3385 · arxiv_version: 1111.3385v3 · doi: 10.48550/arxiv.1111.3385 · pith_short_12: GERBJ5E7UC7M · pith_short_16: GERBJ5E7UC7MZHQ4 · pith_short_8: GERBJ5E7

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/GERBJ5E7UC7MZHQ4PCBDWHVCDT \
  | 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: 312214f49fa0becc9e1c78823b1ea21cd0077da86d3226cb0698e60753dbd8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03f2b309e221f45717414f6e0a0e04642d31b54f44a5a089d6ca4c3fee141e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-14T22:41:11Z",
    "title_canon_sha256": "c877e1d50374a1374242700d0aa97044e704200eb79c1ba108a9172088a7b49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3385",
    "kind": "arxiv",
    "version": 3
  }
}