Pith Number

pith:NAK4IEEL

pith:2022:NAK4IEELBEFBWRY4QI5Y2GH54M

not attested not anchored not stored refs pending

Hadamard states on spherically symmetric characteristic surfaces, the semi-classical Einstein equations and the Hawking effect

Daan W. Janssen, Rainer Verch

arxiv:2209.00577 v2 · 2022-09-01 · gr-qc · math-ph · 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{NAK4IEELBEFBWRY4QI5Y2GH54M}

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

Gravitational null rays: Covariant Quantization and the Dressing Time

Receipt and verification

First computed	2026-07-05T05:30:55.377456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6815c4108b090a1b471c823b8d18fde3300f0beac66bd20d37f1699e00302c04

Aliases

arxiv: 2209.00577 · arxiv_version: 2209.00577v2 · doi: 10.48550/arxiv.2209.00577 · pith_short_12: NAK4IEELBEFB · pith_short_16: NAK4IEELBEFBWRY4 · pith_short_8: NAK4IEEL

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/NAK4IEELBEFBWRY4QI5Y2GH54M \
  | 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: 6815c4108b090a1b471c823b8d18fde3300f0beac66bd20d37f1699e00302c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2c569e0a2414e274a12a2082867e959c10cddfddb8d25172032b8273c60148",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-09-01T16:46:58Z",
    "title_canon_sha256": "c36fb91db44f1336c6b04e05bae542de012c2c05bb1ccf0155860a91746e133e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00577",
    "kind": "arxiv",
    "version": 2
  }
}