Pith Number

pith:JYNF7EJA

pith:2016:JYNF7EJASK7WTLU23VSJJN5SDX

not attested not anchored not stored refs pending

Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes

Christian G\'erard, Micha{\l} Wrochna

arxiv:1609.00190 v2 · 2016-09-01 · math-ph · hep-th · 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{JYNF7EJASK7WTLU23VSJJN5SDX}

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	2026-05-18T00:20:07.434006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e1a5f912092bf69ae9add6494b7b21def828f89362f819afd3b8fd07aa19242

Aliases

arxiv: 1609.00190 · arxiv_version: 1609.00190v2 · doi: 10.48550/arxiv.1609.00190 · pith_short_12: JYNF7EJASK7W · pith_short_16: JYNF7EJASK7WTLU2 · pith_short_8: JYNF7EJA

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/JYNF7EJASK7WTLU23VSJJN5SDX \
  | 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: 4e1a5f912092bf69ae9add6494b7b21def828f89362f819afd3b8fd07aa19242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd41dea1d964f2146db7a13de01f26e683136f7b927a753e9c7cc7edc8f83792",
    "cross_cats_sorted": [
      "hep-th",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-01T11:30:41Z",
    "title_canon_sha256": "c75a44ebee7f1f1e853ca3ef21c242df23f7a7c535faa2dff1ad9683cb59fa20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00190",
    "kind": "arxiv",
    "version": 2
  }
}