Pith Number

pith:6LYJLABR

pith:2015:6LYJLABROBMSIVQKEN3QYVO6R3

not attested not anchored not stored refs pending

Pseudo-Riemannian $\mathrm{G}_{2(2)}$-manifolds with dimension at most $21$

R. Quiroga-Barranco

arxiv:1510.06782 v2 · 2015-10-22 · 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{6LYJLABROBMSIVQKEN3QYVO6R3}

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	2026-05-18T01:06:29.087811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f0958031705924560a23770c55de8eff6c1bd876507d16e967f0a92353d35c

Aliases

arxiv: 1510.06782 · arxiv_version: 1510.06782v2 · doi: 10.48550/arxiv.1510.06782 · pith_short_12: 6LYJLABROBMS · pith_short_16: 6LYJLABROBMSIVQK · pith_short_8: 6LYJLABR

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/6LYJLABROBMSIVQKEN3QYVO6R3 \
  | 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: f2f0958031705924560a23770c55de8eff6c1bd876507d16e967f0a92353d35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ce40eecd544a37cdec553c157d02781f53eeea358577ed0481e18252db7f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-22T22:41:21Z",
    "title_canon_sha256": "eba247368f5cc242db822fa420df8b8b5a7b5a42134760e1a706a05ff3411c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06782",
    "kind": "arxiv",
    "version": 2
  }
}