Pith Number

pith:PLXLLXVA

pith:2013:PLXLLXVAH33TZ2JDS5R6IOVMV4

not attested not anchored not stored refs pending

Hawking radiation with dispersion versus breakdown of WKB

R. Sch\"utzhold, W. G. Unruh

arxiv:1308.2159 v1 · 2013-08-09 · gr-qc · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLXLLXVAH33TZ2JDS5R6IOVMV4}

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

Hawking radiation with dispersion: reconciling the Bogoliubov and tunneling approaches

Receipt and verification

First computed	2026-05-18T01:48:21.673029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aeeb5dea03ef73ce9239763e43aacaf27ed2ad70273017fc640a84101d66ad6

Aliases

arxiv: 1308.2159 · arxiv_version: 1308.2159v1 · doi: 10.48550/arxiv.1308.2159 · pith_short_12: PLXLLXVAH33T · pith_short_16: PLXLLXVAH33TZ2JD · pith_short_8: PLXLLXVA

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/PLXLLXVAH33TZ2JDS5R6IOVMV4 \
  | 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: 7aeeb5dea03ef73ce9239763e43aacaf27ed2ad70273017fc640a84101d66ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e50f84fe5fd6b0c623e3886b5a9393f13315a2d19e08f4540da5a47bbec4d7b2",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-08-09T15:30:07Z",
    "title_canon_sha256": "2a92db3a073f1c6f4f0be41d558c4d8646b5cbf7b9f64fcf09461298e012d9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2159",
    "kind": "arxiv",
    "version": 1
  }
}