Pith Number

pith:PHIUVFGF

pith:2018:PHIUVFGF6D2MHBT3CEG55Q7TFV

not attested not anchored not stored refs pending

Global solution for massive Maxwell-Klein-Gordon equations

Qian Wang, Sergiu Klainerman, Shiwu Yang

arxiv:1801.10380 v1 · 2018-01-31 · math.AP · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHIUVFGF6D2MHBT3CEG55Q7TFV}

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	2026-05-18T00:24:40.971113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d14a94c5f0f4c3867b110ddec3f32d79578ae4b94480455fab4b6daa4a3794

Aliases

arxiv: 1801.10380 · arxiv_version: 1801.10380v1 · doi: 10.48550/arxiv.1801.10380 · pith_short_12: PHIUVFGF6D2M · pith_short_16: PHIUVFGF6D2MHBT3 · pith_short_8: PHIUVFGF

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/PHIUVFGF6D2MHBT3CEG55Q7TFV \
  | 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: 79d14a94c5f0f4c3867b110ddec3f32d79578ae4b94480455fab4b6daa4a3794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fabf94a279d1dd7338a64d5e72abcf0b0585a6dd625250d2f9421e0b73382b6c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-31T09:58:18Z",
    "title_canon_sha256": "e830f44ceb6e7f2c2506803f7b85d18eb0626705e1f3246e37a1db061b9f1544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10380",
    "kind": "arxiv",
    "version": 1
  }
}