Pith Number

pith:PLJ6PJMO

pith:2011:PLJ6PJMOFQIWLBTVELOZMRKXSQ

not attested not anchored not stored refs pending

Graviton in a Curved Space-Time Background and Gauge Symmetry

N.G. Tokarevskaya, V.M. Red'kov, V.V. Kisel

arxiv:1109.1382 v1 · 2011-09-07 · math-ph · gr-qc · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLJ6PJMOFQIWLBTVELOZMRKXSQ}

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	2026-05-18T04:13:55.812196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad3e7a58e2c1165867522dd9645579439564bdb4e9b38d7cb89ba03589c6216

Aliases

arxiv: 1109.1382 · arxiv_version: 1109.1382v1 · doi: 10.48550/arxiv.1109.1382 · pith_short_12: PLJ6PJMOFQIW · pith_short_16: PLJ6PJMOFQIWLBTV · pith_short_8: PLJ6PJMO

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/PLJ6PJMOFQIWLBTVELOZMRKXSQ \
  | 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: 7ad3e7a58e2c1165867522dd9645579439564bdb4e9b38d7cb89ba03589c6216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2599ae16ad07fce44fd1a196e6186bb68b518dd557c63880e2de8bdfbc8fc58",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-07T08:09:07Z",
    "title_canon_sha256": "b28c55374ab01ffab2bc986f22b56ed8a4664aa17a475a6035aec9969a44acc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1382",
    "kind": "arxiv",
    "version": 1
  }
}