pith. sign in
Pith Number

pith:QIK6QRPG

pith:2016:QIK6QRPGQSN7F3HX3DIWPUSA4G
not attested not anchored not stored refs pending

Analytic definition of spin structure

Dmitri Vassiliev, Nikolai Saveliev, Yan-Long Fang, Zhirayr Avetisyan

arxiv:1611.08297 v2 · 2016-11-24 · math.DG · gr-qc · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QIK6QRPGQSN7F3HX3DIWPUSA4G}

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 2026-05-18T00:38:41.919137Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8215e845e6849bf2ecf7d8d167d240e1aa35a1cfa10bed7e357ebd342ab3b2ce

Aliases

arxiv: 1611.08297 · arxiv_version: 1611.08297v2 · doi: 10.48550/arxiv.1611.08297 · pith_short_12: QIK6QRPGQSN7 · pith_short_16: QIK6QRPGQSN7F3HX · pith_short_8: QIK6QRPG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QIK6QRPGQSN7F3HX3DIWPUSA4G \
  | 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: 8215e845e6849bf2ecf7d8d167d240e1aa35a1cfa10bed7e357ebd342ab3b2ce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6d72c7570a5548aeb619645eb44739ddbc9ee49d8649e30efa2fa2032f0f34d6",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-24T19:50:09Z",
    "title_canon_sha256": "771f5d19e75a9bd8e4236362dc405b1d6c61f5d85eebf8d23754f2d8dc00e8c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08297",
    "kind": "arxiv",
    "version": 2
  }
}