pith. sign in
Pith Number

pith:7XTZRYCL

pith:2009:7XTZRYCLB2KAYP7P5ZWXTO6NXJ
not attested not anchored not stored refs pending

Revisiting pinors, spinors and orientability

Fabio Ferrari Ruffino, Loriano Bonora, Raffaele Savelli

arxiv:0907.4334 v3 · 2009-07-24 · math-ph · hep-th · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7XTZRYCLB2KAYP7P5ZWXTO6NXJ}

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 2026-05-18T03:58:14.316615Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fde798e04b0e940c3fefee6d79bbcdba74810a85b089c2074198729c2f231121

Aliases

arxiv: 0907.4334 · arxiv_version: 0907.4334v3 · doi: 10.48550/arxiv.0907.4334 · pith_short_12: 7XTZRYCLB2KA · pith_short_16: 7XTZRYCLB2KAYP7P · pith_short_8: 7XTZRYCL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7XTZRYCLB2KAYP7P5ZWXTO6NXJ \
  | 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: fde798e04b0e940c3fefee6d79bbcdba74810a85b089c2074198729c2f231121
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eaab23f232cc65f349328d47232a95fbbfd3fc79eb47076dce64468704acc0f1",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-24T16:23:54Z",
    "title_canon_sha256": "a8e69ade17efe850ee89704a44a632f8c668aa2d3d8822f6b2079f8e16902317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4334",
    "kind": "arxiv",
    "version": 3
  }
}