Pith Number

pith:3SAO5CBI

pith:2020:3SAO5CBIPUE2KGAN76MZF5CMEN

not attested not anchored not stored refs pending

Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity

Chandrasekhar Bhamidipati, Pavan Kumar Yerra

arxiv:2006.07775 v2 · 2020-06-14 · 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{3SAO5CBIPUE2KGAN76MZF5CMEN}

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

Topological charge and black hole photon spheres in massive gravity

Receipt and verification

First computed	2026-07-05T01:30:06.122411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc80ee88287d09a5180dff9992f44c237bc4d8fb35d1db37a5e6ea8d22166f10

Aliases

arxiv: 2006.07775 · arxiv_version: 2006.07775v2 · doi: 10.48550/arxiv.2006.07775 · pith_short_12: 3SAO5CBIPUE2 · pith_short_16: 3SAO5CBIPUE2KGAN · pith_short_8: 3SAO5CBI

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/3SAO5CBIPUE2KGAN76MZF5CMEN \
  | 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: dc80ee88287d09a5180dff9992f44c237bc4d8fb35d1db37a5e6ea8d22166f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485e98c40b1cb5cd651e0a0707a483020dcfbdd87231c12438ef277dc44efd05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-06-14T02:51:43Z",
    "title_canon_sha256": "ebc8343b294d50c6cf2844079b43e81298145cebaa125d93d91526b3ab84e220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.07775",
    "kind": "arxiv",
    "version": 2
  }
}