Pith Number

pith:PRMIF3ZD

pith:2011:PRMIF3ZDNBFP7KFV2QISTL2FJP

not attested not anchored not stored refs pending

Left invariant semi Riemannian metrics on quadratic Lie groups

Alberto Medina, Shirley Bromberg

arxiv:1103.1356 v1 · 2011-03-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRMIF3ZDNBFP7KFV2QISTL2FJP}

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	2026-05-18T04:27:16.599272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5882ef23684affa8b5d41129af454be2f08c038a1e5f0071b16c9b3d391b2e

Aliases

arxiv: 1103.1356 · arxiv_version: 1103.1356v1 · doi: 10.48550/arxiv.1103.1356 · pith_short_12: PRMIF3ZDNBFP · pith_short_16: PRMIF3ZDNBFP7KFV · pith_short_8: PRMIF3ZD

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/PRMIF3ZDNBFP7KFV2QISTL2FJP \
  | 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: 7c5882ef23684affa8b5d41129af454be2f08c038a1e5f0071b16c9b3d391b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abfaa923d7220d4d94f851d44da23aa201a6550588e2e2c388c555cb2f47f79c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-07T19:52:38Z",
    "title_canon_sha256": "cf0ca682fd1569181d18bde549ba0080711b7ec07b5989b198d52db3f77e6af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1356",
    "kind": "arxiv",
    "version": 1
  }
}