pith. sign in
Pith Number

pith:ULLE63J2

pith:2012:ULLE63J2CUWFFQT6DWD5LTQTD7
not attested not anchored not stored refs pending

Non-formal co-symplectic manifolds

Giovanni Bazzoni, Marisa Fern\'andez, Vicente Mu\~noz

arxiv:1203.6422 v2 · 2012-03-29 · math.AT · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ULLE63J2CUWFFQT6DWD5LTQTD7}

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 2026-05-18T03:03:10.399774Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a2d64f6d3a152c52c27e1d87d5ce131ffe15f54ab45c6c96f11cd2c033d49d55

Aliases

arxiv: 1203.6422 · arxiv_version: 1203.6422v2 · doi: 10.48550/arxiv.1203.6422 · pith_short_12: ULLE63J2CUWF · pith_short_16: ULLE63J2CUWFFQT6 · pith_short_8: ULLE63J2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ULLE63J2CUWFFQT6DWD5LTQTD7 \
  | 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: a2d64f6d3a152c52c27e1d87d5ce131ffe15f54ab45c6c96f11cd2c033d49d55
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7a74f850029e974476ff431991a292281792b5a0929c4675402e286df7efee2f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-03-29T04:03:35Z",
    "title_canon_sha256": "15e14e75d201bebb504cb879167eb2f525cf2866d120c3a9e3a8c69622f1f44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6422",
    "kind": "arxiv",
    "version": 2
  }
}