Pith Number

pith:WQIPZQGE

pith:2011:WQIPZQGENWU5NKJYVCX7XRVLJU

not attested not anchored not stored refs pending

Ghosts of Critical Gravity

Massimo Porrati, Matthew M. Roberts

arxiv:1104.0674 v2 · 2011-04-04 · 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{WQIPZQGENWU5NKJYVCX7XRVLJU}

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	2026-05-18T04:16:11.844598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b410fcc0c46da9d6a938a8affbc6ab4d08fb130001daaae8eb26f80a6e03f42f

Aliases

arxiv: 1104.0674 · arxiv_version: 1104.0674v2 · doi: 10.48550/arxiv.1104.0674 · pith_short_12: WQIPZQGENWU5 · pith_short_16: WQIPZQGENWU5NKJY · pith_short_8: WQIPZQGE

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/WQIPZQGENWU5NKJYVCX7XRVLJU \
  | 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: b410fcc0c46da9d6a938a8affbc6ab4d08fb130001daaae8eb26f80a6e03f42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51bd0cd14a699795b7762b5d6d9f0fb052cf570698a8d361c74807a109abb86",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-04T20:01:38Z",
    "title_canon_sha256": "1308796c342d3c3dfaa0f790c9ff2efc8dd3241aa6be41007cc0f1bc9271ceac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0674",
    "kind": "arxiv",
    "version": 2
  }
}