Pith. sign in
Pith Number

pith:7745KYRQ

pith:2025:7745KYRQILQLJACB5WSDDK3WK3
not attested not anchored not stored refs pending

Bordered contact invariants and half Giroux torsion

Hyunki Min, Konstantinos Varvarezos

arxiv:2506.14050 v4 · 2025-06-16 · math.GT · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7745KYRQILQLJACB5WSDDK3WK3}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T11:42:30.813323Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fff9d5623042e0b48041eda431ab7656d7bb6d8271e29cadb36cdd4ab6bbf1a8

Aliases

arxiv: 2506.14050 · arxiv_version: 2506.14050v4 · doi: 10.48550/arxiv.2506.14050 · pith_short_12: 7745KYRQILQL · pith_short_16: 7745KYRQILQLJACB · pith_short_8: 7745KYRQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7745KYRQILQLJACB5WSDDK3WK3 \
  | 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: fff9d5623042e0b48041eda431ab7656d7bb6d8271e29cadb36cdd4ab6bbf1a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1bed7a26acf17b6bb19200658bad626bbcf5d55c36310ddaec3f4a48042a2762",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-16T23:16:17Z",
    "title_canon_sha256": "61e078a98e588595c95183fb493a900a23a19216b5ae35444f6c7d1dacd53f98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14050",
    "kind": "arxiv",
    "version": 4
  }
}