Pith Number

pith:XQIDMNS2

pith:2000:XQIDMNS2INS3FT5KU37OTS7FFB

not attested not anchored not stored refs pending

Microlocal spectrum condition and Hadamard form for vector-valued quantum fields in curved spacetime

Hanno Sahlmann, Rainer Verch

arxiv:math-ph/0008029 v2 · 2000-08-22 · math-ph · gr-qc · hep-th · 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{XQIDMNS2INS3FT5KU37OTS7FFB}

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.

Cited by

1 paper in Pith

The Teukolsky scalar as a gateway for quantizing gravity on rotating black holes

Receipt and verification

First computed	2026-07-04T16:21:11.162462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1036365a4365b2cfaaa6fee9cbe5286cd1921084ac3f422f4d1d28b9be75a0

Aliases

arxiv: math-ph/0008029 · arxiv_version: math-ph/0008029v2 · doi: 10.48550/arxiv.math-ph/0008029 · pith_short_12: XQIDMNS2INS3 · pith_short_16: XQIDMNS2INS3FT5K · pith_short_8: XQIDMNS2

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/XQIDMNS2INS3FT5KU37OTS7FFB \
  | 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: bc1036365a4365b2cfaaa6fee9cbe5286cd1921084ac3f422f4d1d28b9be75a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eaba939f9c415e4be6b6605b96b320ef75d79c857f9883c8b468a894db0aec3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-08-22T10:51:26Z",
    "title_canon_sha256": "ba35c65a8f538b59101b5f497cf0964a91c5d4f09e136cd464f97c4275567199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0008029",
    "kind": "arxiv",
    "version": 2
  }
}