Pith Number

pith:PGYXPLYD

pith:2024:PGYXPLYDDMPDY43GEY6UTWTQ3T

not attested not anchored not stored refs pending

Relative Calabi-Yau structure on microlocalization

Christopher Kuo, Wenyuan Li

arxiv:2408.04085 v1 · 2024-08-07 · math.SG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGYXPLYDDMPDY43GEY6UTWTQ3T}

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.

Cited by

1 paper in Pith

Weak Relative Calabi-Yau Structures for Legendrian Contact Homology

Receipt and verification

First computed	2026-07-05T08:53:27.922271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b177af031b1e3c7366263d49da70dcfb3211453484c23e98b78eafeb6402ed

Aliases

arxiv: 2408.04085 · arxiv_version: 2408.04085v1 · doi: 10.48550/arxiv.2408.04085 · pith_short_12: PGYXPLYDDMPD · pith_short_16: PGYXPLYDDMPDY43G · pith_short_8: PGYXPLYD

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/PGYXPLYDDMPDY43GEY6UTWTQ3T \
  | 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: 79b177af031b1e3c7366263d49da70dcfb3211453484c23e98b78eafeb6402ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "051a9e44d27d5000a50c92cf429466cff34bfe00a96af9fa4c88eb7dce233b03",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-08-07T20:56:16Z",
    "title_canon_sha256": "62f600d215b6cb505cfe0122d803b44b42600b3951f0e503e855f46ec2146e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.04085",
    "kind": "arxiv",
    "version": 1
  }
}