Pith Number

pith:WANE3L2E

pith:2000:WANE3L2EAMVDPKPGH45ZAY6HBQ

not attested not anchored not stored refs pending

Microscopic entropy of the most general four-dimensional BPS black hole

M. Bertolini, M. Trigiante

arxiv:hep-th/0008201 v2 · 2000-08-25 · 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{WANE3L2EAMVDPKPGH45ZAY6HBQ}

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	2026-05-18T04:35:24.068733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b01a4daf44032a37a9e63f3b9063c70c0216a00e5b3d703049a1e20332acf8c3

Aliases

arxiv: hep-th/0008201 · arxiv_version: hep-th/0008201v2 · doi: 10.48550/arxiv.hep-th/0008201 · pith_short_12: WANE3L2EAMVD · pith_short_16: WANE3L2EAMVDPKPG · pith_short_8: WANE3L2E

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/WANE3L2EAMVDPKPGH45ZAY6HBQ \
  | 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: b01a4daf44032a37a9e63f3b9063c70c0216a00e5b3d703049a1e20332acf8c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6335f2317e3cdc513c572c546a780e65bd774355130a8165c8b0d63de56bbb3b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-08-25T16:52:38Z",
    "title_canon_sha256": "8dd6108f08f491c7fed9e2965eaad42a04a5444a1ba785674945fdaf71210655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0008201",
    "kind": "arxiv",
    "version": 2
  }
}