Pith Number

pith:YO3ILZYZ

pith:2014:YO3ILZYZYHR46FS3RNZHWE2BSD

not attested not anchored not stored refs pending

Symplectic Divisorial Capping in Dimension 4

Cheuk Yu Mak, Tian-Jun Li

arxiv:1407.0564 v3 · 2014-07-02 · 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{YO3ILZYZYHR46FS3RNZHWE2BSD}

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	2026-05-18T02:37:53.745735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3b685e719c1e3cf165b8b727b134190f6fad3ecd986cb99d3645b48e9706b4d

Aliases

arxiv: 1407.0564 · arxiv_version: 1407.0564v3 · doi: 10.48550/arxiv.1407.0564 · pith_short_12: YO3ILZYZYHR4 · pith_short_16: YO3ILZYZYHR46FS3 · pith_short_8: YO3ILZYZ

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/YO3ILZYZYHR46FS3RNZHWE2BSD \
  | 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: c3b685e719c1e3cf165b8b727b134190f6fad3ecd986cb99d3645b48e9706b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5624273597bb1c12bc617257302885c0fc63111127a3c3c9ca5a1d5e5b882b17",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-07-02T13:39:23Z",
    "title_canon_sha256": "386341623102593f2c773728c8b5919a2c2adc4f44efddc5e8378615cc032fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0564",
    "kind": "arxiv",
    "version": 3
  }
}