Pith Number

pith:AIZIKLK4

pith:2017:AIZIKLK4CL5UAPTZ5ILBSRQ6DL

not attested not anchored not stored refs pending

Black hole mass formula in the membrane paradigm

Jos\'e P. S. Lemos, Oleg B. Zaslavskii

arxiv:1712.03236 v2 · 2017-12-08 · gr-qc · hep-th · 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{AIZIKLK4CL5UAPTZ5ILBSRQ6DL}

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	2026-05-18T00:20:16.327801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0232852d5c12fb403e79ea1619461e1adfdf09a8de2d64541ac2517752eb1689

Aliases

arxiv: 1712.03236 · arxiv_version: 1712.03236v2 · doi: 10.48550/arxiv.1712.03236 · pith_short_12: AIZIKLK4CL5U · pith_short_16: AIZIKLK4CL5UAPTZ · pith_short_8: AIZIKLK4

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/AIZIKLK4CL5UAPTZ5ILBSRQ6DL \
  | 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: 0232852d5c12fb403e79ea1619461e1adfdf09a8de2d64541ac2517752eb1689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "464ea2a4cf26bb40ca917647d955bea346138a0cd9b86878c39fbe55830ff99f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-08T19:00:01Z",
    "title_canon_sha256": "cd727f951c090ee787071b67c1dae464b813e8222a4a45333867f2c1f1918d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03236",
    "kind": "arxiv",
    "version": 2
  }
}