Pith Number

pith:MGX3ESFP

pith:1996:MGX3ESFPVSIQ5UOOOXGO7BDYVI

not attested not anchored not stored refs pending

Quantum Hair, Instantons, and Black Hole Thermodynamics: Some New Results

Hong Liu (Case Western Reserve University), Lawrence M. Krauss

arxiv:hep-th/9611032 v2 · 1996-11-05 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGX3ESFPVSIQ5UOOOXGO7BDYVI}

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	2026-05-18T01:05:56.626509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61afb248afac910ed1ce75ccef8478aa042976334c177366ad7f25ae9832f76f

Aliases

arxiv: hep-th/9611032 · arxiv_version: hep-th/9611032v2 · doi: 10.48550/arxiv.hep-th/9611032 · pith_short_12: MGX3ESFPVSIQ · pith_short_16: MGX3ESFPVSIQ5UOO · pith_short_8: MGX3ESFP

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/MGX3ESFPVSIQ5UOOOXGO7BDYVI \
  | 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: 61afb248afac910ed1ce75ccef8478aa042976334c177366ad7f25ae9832f76f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2daf8fac79adc5166849a75f3b60b2a8e4ce1046745d64bb28168eff72ec4be4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-11-05T22:51:01Z",
    "title_canon_sha256": "cb3476c139ebf4008c5018251cf2123a2fcb8489b4a71bd2bcad42ed24a82e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9611032",
    "kind": "arxiv",
    "version": 2
  }
}