Pith Number

pith:LCDI4COO

pith:2015:LCDI4COOKYICDMXZRVOPWT6HNN

not attested not anchored not stored refs pending

On the class of caustic on the moduli space of odd spin curves

Mikhail Basok

arxiv:1509.02359 v3 · 2015-09-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCDI4COOKYICDMXZRVOPWT6HNN}

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	2026-05-17T23:56:00.922999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58868e09ce561021b2f98d5cfb4fc76b40ae456f734d6b77f1f6cf2c2711cb58

Aliases

arxiv: 1509.02359 · arxiv_version: 1509.02359v3 · doi: 10.48550/arxiv.1509.02359 · pith_short_12: LCDI4COOKYIC · pith_short_16: LCDI4COOKYICDMXZ · pith_short_8: LCDI4COO

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/LCDI4COOKYICDMXZRVOPWT6HNN \
  | 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: 58868e09ce561021b2f98d5cfb4fc76b40ae456f734d6b77f1f6cf2c2711cb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff32056f23eb0a81ea5b40be9f5e7fa1d087827b6a005cf37af525b18e597dd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-08T13:19:13Z",
    "title_canon_sha256": "16dce92cc9f62a7a29e71fb7974334eb61ce5c2a78b66f7e25668f2ded4f066c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02359",
    "kind": "arxiv",
    "version": 3
  }
}