Pith Number

pith:MO2J6CTQ

pith:2012:MO2J6CTQ4UNIQLPX62ZG4J2ZAF

not attested not anchored not stored refs pending

On the positivity of black hole degeneracies in string theory

Kathrin Bringmann, Sameer Murthy

arxiv:1208.3476 v2 · 2012-08-16 · hep-th · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO2J6CTQ4UNIQLPX62ZG4J2ZAF}

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

An extremal black hole with a unique ground state

Receipt and verification

First computed	2026-05-18T03:45:33.041791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b49f0a70e51a882df7f6b26e27590149642106aacd20550d15315459965bca

Aliases

arxiv: 1208.3476 · arxiv_version: 1208.3476v2 · doi: 10.48550/arxiv.1208.3476 · pith_short_12: MO2J6CTQ4UNI · pith_short_16: MO2J6CTQ4UNIQLPX · pith_short_8: MO2J6CTQ

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/MO2J6CTQ4UNIQLPX62ZG4J2ZAF \
  | 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: 63b49f0a70e51a882df7f6b26e27590149642106aacd20550d15315459965bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba43db221179301c58dcf7e7151150230392d65c718ab73c8d60351cc4fc1521",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-08-16T20:06:33Z",
    "title_canon_sha256": "c273b398459cd04e123db05b3a2f03d38591d81a724aa0f3008aaa40d06637fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3476",
    "kind": "arxiv",
    "version": 2
  }
}