Pith Number

pith:XC2UFX6A

pith:2025:XC2UFX6AZPWMEM4SJIWMGER63I

not attested not anchored not stored refs pending

Weak Relative Calabi-Yau Structures for Legendrian Contact Homology

Jiajie Ma, Joshua M. Sabloff

arxiv:2509.02485 v1 · 2025-09-02 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XC2UFX6AZPWMEM4SJIWMGER63I}

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	2026-07-05T12:03:39.455164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b542dfc0cbecc233924a2cc3123eda11dfb0b016039453ac39fcf678978648

Aliases

arxiv: 2509.02485 · arxiv_version: 2509.02485v1 · doi: 10.48550/arxiv.2509.02485 · pith_short_12: XC2UFX6AZPWM · pith_short_16: XC2UFX6AZPWMEM4S · pith_short_8: XC2UFX6A

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/XC2UFX6AZPWMEM4SJIWMGER63I \
  | 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: b8b542dfc0cbecc233924a2cc3123eda11dfb0b016039453ac39fcf678978648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376a7c50430c02628e68019ad90f72a1931a0d420f7d945d87cbf26c721352a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-09-02T16:36:20Z",
    "title_canon_sha256": "2c8cce0ac8f3910a4c8bbfb0f4789535bd396e489398c8bed07762f00e68d2cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02485",
    "kind": "arxiv",
    "version": 1
  }
}