Pith Number

pith:RK4LKQZ4

pith:2014:RK4LKQZ43YCRYLSHE3QIJW5TZP

not attested not anchored not stored refs pending

Calabi-Yau Caps, Uniruled Caps and Symplectic Fillings

Cheuk Yu Mak, Kouichi Yasui, Tian-Jun Li

arxiv:1412.3208 v3 · 2014-12-10 · math.SG · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RK4LKQZ43YCRYLSHE3QIJW5TZP}

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	2026-05-18T00:45:08.757643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab8b5433cde051c2e4726e084dbb3cbd63710ba1443bfc456ea5390ac47fbfc

Aliases

arxiv: 1412.3208 · arxiv_version: 1412.3208v3 · doi: 10.48550/arxiv.1412.3208 · pith_short_12: RK4LKQZ43YCR · pith_short_16: RK4LKQZ43YCRYLSH · pith_short_8: RK4LKQZ4

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/RK4LKQZ43YCRYLSHE3QIJW5TZP \
  | 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: 8ab8b5433cde051c2e4726e084dbb3cbd63710ba1443bfc456ea5390ac47fbfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b5bdea72edb70b1f22a12f8e3df75b133a65a3ee5385dc2e5a9d8ca730413ba",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-12-10T06:16:19Z",
    "title_canon_sha256": "f545adf97801bffc5504a1331884ecaa3d264f91bd3228573b4750d43e8860b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3208",
    "kind": "arxiv",
    "version": 3
  }
}