Pith Number

pith:PP34VDK7

pith:2015:PP34VDK7IA2Z4DII2C4RYRKZSH

not attested not anchored not stored refs pending

Energy Extremum Principle for Charged Black Holes

Scott Fraser, Shaker Von Price Funkhouser

arxiv:1509.03902 v2 · 2015-09-13 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP34VDK7IA2Z4DII2C4RYRKZSH}

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	2026-05-18T01:27:38.159808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf7ca8d5f40359e0d08d0b91c455991e56e576a212735c24bb61fd596d0d55f

Aliases

arxiv: 1509.03902 · arxiv_version: 1509.03902v2 · doi: 10.48550/arxiv.1509.03902 · pith_short_12: PP34VDK7IA2Z · pith_short_16: PP34VDK7IA2Z4DII · pith_short_8: PP34VDK7

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/PP34VDK7IA2Z4DII2C4RYRKZSH \
  | 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: 7bf7ca8d5f40359e0d08d0b91c455991e56e576a212735c24bb61fd596d0d55f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bd85100d81f88d03124831e6d75d52921dd2a5f683e0fceb67ba7838ec627d1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-13T22:04:05Z",
    "title_canon_sha256": "4a47fdc52fdd1e6d13dd89cec4d6450e0b6ed933393fd4502fe41f12a9939b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03902",
    "kind": "arxiv",
    "version": 2
  }
}