Pith Number

pith:U3L5F6HK

pith:2015:U3L5F6HKRLFISYV7UNJZYIFMEO

not attested not anchored not stored refs pending

Decay of solutions of Maxwell-Klein-Gordon equations with large Maxwell field

Shiwu Yang

arxiv:1511.00251 v1 · 2015-11-01 · 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{U3L5F6HKRLFISYV7UNJZYIFMEO}

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	2026-05-18T01:28:12.812687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6d7d2f8ea8aca8962bfa3539c20ac23b653c8dd6c9f090034d8ff5a870f28b3

Aliases

arxiv: 1511.00251 · arxiv_version: 1511.00251v1 · doi: 10.48550/arxiv.1511.00251 · pith_short_12: U3L5F6HKRLFI · pith_short_16: U3L5F6HKRLFISYV7 · pith_short_8: U3L5F6HK

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/U3L5F6HKRLFISYV7UNJZYIFMEO \
  | 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: a6d7d2f8ea8aca8962bfa3539c20ac23b653c8dd6c9f090034d8ff5a870f28b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8280bd7653793a12ee2989f75bea07693124b178c6c58861d1a971ece63f20df",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-01T13:44:13Z",
    "title_canon_sha256": "d46be9ddc4e2d5889f896cb7e0cb0c1a10b0d0061357ec4dab25389f0175ebda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00251",
    "kind": "arxiv",
    "version": 1
  }
}