Pith Number

pith:FQ7MNNTO

pith:2011:FQ7MNNTOSMNT2VDNGPP2OVBJMH

not attested not anchored not stored refs pending

Locally Homogeneous Spaces, Induced Killing Vector Fields and Applications to Bianchi Prototypes

G. O. Papadopoulos, Th. Grammenos

arxiv:1106.3897 v2 · 2011-06-20 · math.DG · gr-qc · math-ph · 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{FQ7MNNTOSMNT2VDNGPP2OVBJMH}

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

Bianchi cosmologies in a Thurston-based theory of gravity

Receipt and verification

First computed	2026-05-18T02:01:34.834431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c3ec6b66e931b3d546d33dfa7542961d9b6ec7540fa064d55bc1602e0595726

Aliases

arxiv: 1106.3897 · arxiv_version: 1106.3897v2 · doi: 10.48550/arxiv.1106.3897 · pith_short_12: FQ7MNNTOSMNT · pith_short_16: FQ7MNNTOSMNT2VDN · pith_short_8: FQ7MNNTO

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/FQ7MNNTOSMNT2VDNGPP2OVBJMH \
  | 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: 2c3ec6b66e931b3d546d33dfa7542961d9b6ec7540fa064d55bc1602e0595726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e66e489df9ce9db243feef91d989d69f1250f4d844162b2af08f959f14b56f",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-20T13:36:37Z",
    "title_canon_sha256": "75364943b0b5b71591c06435547ddc68100d2e34713b16b7807eac6e070ab605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3897",
    "kind": "arxiv",
    "version": 2
  }
}