Pith Number

pith:F4TVLUCD

pith:2015:F4TVLUCDWFIG3CN6WT3PASIWJ3

not attested not anchored not stored refs pending

Symplectic log Calabi-Yau surface---deformation class

Cheuk Yu Mak, Tian-Jun Li

arxiv:1510.06131 v1 · 2015-10-21 · math.SG · 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{F4TVLUCDWFIG3CN6WT3PASIWJ3}

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	2026-05-18T01:29:37.678019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2755d043b1506d89beb4f6f049164ed097cd192b410dc4ceedb6f0e6a00bf9

Aliases

arxiv: 1510.06131 · arxiv_version: 1510.06131v1 · doi: 10.48550/arxiv.1510.06131 · pith_short_12: F4TVLUCDWFIG · pith_short_16: F4TVLUCDWFIG3CN6 · pith_short_8: F4TVLUCD

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/F4TVLUCDWFIG3CN6WT3PASIWJ3 \
  | 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: 2f2755d043b1506d89beb4f6f049164ed097cd192b410dc4ceedb6f0e6a00bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3884b9f09f05d5f74abebe553c2afd506163992d52a1fbfc09ea09b8408aef45",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-10-21T04:27:56Z",
    "title_canon_sha256": "7765b13dce88830c3a4d8a12ce7b012a1b6080073d362f81a569b29b9c78a5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06131",
    "kind": "arxiv",
    "version": 1
  }
}