Pith Number

pith:6OIUV2NT

pith:2016:6OIUV2NTJHPKIFTLM3HCYGOKC6

not attested not anchored not stored refs pending

Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry

Christian G\'erard (LMO), Michal Wrochna (IF), Omar Oulghazi (LMO)

arxiv:1602.00930 v3 · 2016-02-02 · math-ph · math.AP · 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{6OIUV2NTJHPKIFTLM3HCYGOKC6}

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	2026-05-18T00:47:15.602128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3914ae9b349dea4166b66ce2c19ca17bb7e73c0a2f962e81beff638936cfbfe

Aliases

arxiv: 1602.00930 · arxiv_version: 1602.00930v3 · doi: 10.48550/arxiv.1602.00930 · pith_short_12: 6OIUV2NTJHPK · pith_short_16: 6OIUV2NTJHPKIFTL · pith_short_8: 6OIUV2NT

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/6OIUV2NTJHPKIFTLM3HCYGOKC6 \
  | 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: f3914ae9b349dea4166b66ce2c19ca17bb7e73c0a2f962e81beff638936cfbfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1c02937e3550df846db8d2db3f5cdb144c14a200fa93bbd4d3114ae00edd39",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-02T13:59:56Z",
    "title_canon_sha256": "f87042647fb6c781187bbacda252e2c5fb8662948c32396c16db2416c908a57a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00930",
    "kind": "arxiv",
    "version": 3
  }
}