Pith Number

pith:32JWFXBD

pith:2011:32JWFXBDCVVUQTRFYWE5CSK5EY

not attested not anchored not stored refs pending

Massive Gravity with Anisotropic Scaling

Bertha Cuadros-Melgar, Eleftherios Papantonopoulos, Minas Tsoukalas, Vassilios Zamarias

arxiv:1108.3771 v2 · 2011-08-18 · 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{32JWFXBDCVVUQTRFYWE5CSK5EY}

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	2026-05-18T03:51:14.403692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9362dc23156b484e25c589d1495d262cc26d15e5efb7157a3d4ec764eceb44

Aliases

arxiv: 1108.3771 · arxiv_version: 1108.3771v2 · doi: 10.48550/arxiv.1108.3771 · pith_short_12: 32JWFXBDCVVU · pith_short_16: 32JWFXBDCVVUQTRF · pith_short_8: 32JWFXBD

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/32JWFXBDCVVUQTRFYWE5CSK5EY \
  | 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: de9362dc23156b484e25c589d1495d262cc26d15e5efb7157a3d4ec764eceb44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30015793e9942d25e76a16d295d8c35a8424875f30151928a4abae24fe3beacf",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-18T14:52:32Z",
    "title_canon_sha256": "23bdc0254e7adee33a8fa930eb1cae37785cc8ba1fb422bea0ec59c80d4bb8b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3771",
    "kind": "arxiv",
    "version": 2
  }
}