Pith Number

pith:L4PCHS2H

pith:2000:L4PCHS2HLIRTW5SYCC3EFLXS35

not attested not anchored not stored refs pending

Passivity and microlocal spectrum condition

Hanno Sahlmann, Rainer Verch

arxiv:math-ph/0002021 v2 · 2000-02-08 · 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{L4PCHS2HLIRTW5SYCC3EFLXS35}

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

Stress-energy tensor of quantized scalar fields in thermal states on a zero-tidal wormhole

Receipt and verification

First computed	2026-07-04T16:21:09.931153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1e23cb475a233b765810b642aef2df7d0048c58dfdc5e1f4e5574f733d64fb

Aliases

arxiv: math-ph/0002021 · arxiv_version: math-ph/0002021v2 · doi: 10.48550/arxiv.math-ph/0002021 · pith_short_12: L4PCHS2HLIRT · pith_short_16: L4PCHS2HLIRTW5SY · pith_short_8: L4PCHS2H

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/L4PCHS2HLIRTW5SYCC3EFLXS35 \
  | 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: 5f1e23cb475a233b765810b642aef2df7d0048c58dfdc5e1f4e5574f733d64fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3224e8348b0741848e91fbd9cc273b75862d198f2a0cc84975d5878530fe5a2",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-02-08T17:44:20Z",
    "title_canon_sha256": "6c99b752c11f1000dd8c8e75eb90ff1cf6612841b0c1f75d91d8333a5c096dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0002021",
    "kind": "arxiv",
    "version": 2
  }
}