Pith Number

pith:TPBAOTE4

pith:2010:TPBAOTE4QBLLJMXFTN67X4ULUB

not attested not anchored not stored refs pending

Pseudo-Riemannian manifolds with recurrent spinor fields

Anton S. Galaev

arxiv:1002.2064 v2 · 2010-02-10 · math.DG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPBAOTE4QBLLJMXFTN67X4ULUB}

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	2026-05-18T00:07:51.567680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc2074c9c8056b4b2e59b7dfbf28ba05d9181e6d38716e2049ca09e94b5bc3b

Aliases

arxiv: 1002.2064 · arxiv_version: 1002.2064v2 · doi: 10.48550/arxiv.1002.2064 · pith_short_12: TPBAOTE4QBLL · pith_short_16: TPBAOTE4QBLLJMXF · pith_short_8: TPBAOTE4

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/TPBAOTE4QBLLJMXFTN67X4ULUB \
  | 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: 9bc2074c9c8056b4b2e59b7dfbf28ba05d9181e6d38716e2049ca09e94b5bc3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f8f9a5efc5b7cfd6ade9ea37a9f80f0bfde33f6221f77e624d6280d698cef33",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-02-10T10:46:58Z",
    "title_canon_sha256": "d69bf4406f6170c777f4392f9c8d997130785785da54bf9dbc25b4d670eecc66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2064",
    "kind": "arxiv",
    "version": 2
  }
}