pith. sign in
Pith Number

pith:ZASFVOH2

pith:2011:ZASFVOH24BZW3KQESBA5EU4MCX
not attested not anchored not stored refs pending

Hawking radiation as tunneling is non-Markovian: An information-theoretic solution to the paradox of black hole information loss

Zeqian Chen

arxiv:1111.1821 v2 · 2011-11-08 · math-ph · gr-qc · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZASFVOH24BZW3KQESBA5EU4MCX}

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 2026-05-18T04:08:44.248772Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8245ab8fae0736daa049041d2538c15cb0bcfd632308d3a79fd8f8c9e9c068a

Aliases

arxiv: 1111.1821 · arxiv_version: 1111.1821v2 · doi: 10.48550/arxiv.1111.1821 · pith_short_12: ZASFVOH24BZW · pith_short_16: ZASFVOH24BZW3KQE · pith_short_8: ZASFVOH2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZASFVOH24BZW3KQESBA5EU4MCX \
  | 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: c8245ab8fae0736daa049041d2538c15cb0bcfd632308d3a79fd8f8c9e9c068a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "363f6a2e1ef133aa39d716415677205e21028c8c29363c6a2d9928ffe4be21fb",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-08T08:16:19Z",
    "title_canon_sha256": "67215c57abc8458b7e671b060a8e6622f43fce364003a0ac7453d73fdd2898a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1821",
    "kind": "arxiv",
    "version": 2
  }
}