Pith Number

pith:GF7X7XHR

pith:2010:GF7X7XHRQZEE37VQLXUUBDWFCV

not attested not anchored not stored refs pending

Massive Gravity: Resolving the Puzzles

Ali H. Chamseddine, Lasma Alberte, Viatcheslav Mukhanov

arxiv:1008.5132 v2 · 2010-08-30 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GF7X7XHRQZEE37VQLXUUBDWFCV}

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	2026-05-18T04:33:29.030610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317f7fdcf186484dfeb05de9408ec5156f4f084b1c4fa839f4467d27e9f67950

Aliases

arxiv: 1008.5132 · arxiv_version: 1008.5132v2 · doi: 10.48550/arxiv.1008.5132 · pith_short_12: GF7X7XHRQZEE · pith_short_16: GF7X7XHRQZEE37VQ · pith_short_8: GF7X7XHR

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/GF7X7XHRQZEE37VQLXUUBDWFCV \
  | 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: 317f7fdcf186484dfeb05de9408ec5156f4f084b1c4fa839f4467d27e9f67950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ec4167f7c42ee0e55a39f59b9712ed838dce773e02fc34a31f0c33817cfee0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-08-30T18:22:17Z",
    "title_canon_sha256": "d7ba21429160a6255c7c337c76dfd30efd86f0824963d1c1f2419f50d55bcec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5132",
    "kind": "arxiv",
    "version": 2
  }
}