Pith Number

pith:VLM55JB7

pith:2021:VLM55JB7JCWYWMUL35HWQ2BKFC

not attested not anchored not stored refs pending

Novel relations in massive gravity at Hawking-Page transition

Chandrasekhar Bhamidipati, Pavan Kumar Yerra

arxiv:2107.04504 v1 · 2021-07-09 · 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{VLM55JB7JCWYWMUL35HWQ2BKFC}

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	2026-07-05T03:38:22.910856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad9dea43f48ad8b328bdf4f68682a28b319754f7bf520ac1b6a237e4896912c

Aliases

arxiv: 2107.04504 · arxiv_version: 2107.04504v1 · doi: 10.48550/arxiv.2107.04504 · pith_short_12: VLM55JB7JCWY · pith_short_16: VLM55JB7JCWYWMUL · pith_short_8: VLM55JB7

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/VLM55JB7JCWYWMUL35HWQ2BKFC \
  | 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: aad9dea43f48ad8b328bdf4f68682a28b319754f7bf520ac1b6a237e4896912c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3486f17bb22233e20d37c303bcb46494047b1ff2bb673b81ce28bae6cb4ee9b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-09T15:45:21Z",
    "title_canon_sha256": "4d4ac734547e6064e2e1dba57e33a4eb1ca902e8a2b7a79dad8a791b36482951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04504",
    "kind": "arxiv",
    "version": 1
  }
}