Pith Number

pith:QVEFNO7N

pith:2011:QVEFNO7NVOMAIDMNHFTMIABZRS

not attested not anchored not stored refs pending

Tight contact structures on some bounded Seifert manifolds with minimal convex boundary

Fan Ding, Qiang Zhang, Youlin Li

arxiv:1111.1900 v2 · 2011-11-08 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVEFNO7NVOMAIDMNHFTMIABZRS}

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	2026-05-18T04:08:03.276603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

854856bbedab98040d8d3966c400398cbe6dbf7104b3b257c02be870cd820fd1

Aliases

arxiv: 1111.1900 · arxiv_version: 1111.1900v2 · doi: 10.48550/arxiv.1111.1900 · pith_short_12: QVEFNO7NVOMA · pith_short_16: QVEFNO7NVOMAIDMN · pith_short_8: QVEFNO7N

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/QVEFNO7NVOMAIDMNHFTMIABZRS \
  | 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: 854856bbedab98040d8d3966c400398cbe6dbf7104b3b257c02be870cd820fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6868bc3dbdd0e933cd04c314f402924516b5fe4d14c6cbc6aaed1b8e17871b9c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-08T13:21:04Z",
    "title_canon_sha256": "6e2c7995ac26b31d9c5df27b4e3fc1238bc3d92c8ef8a5f35aef8cb75141b61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1900",
    "kind": "arxiv",
    "version": 2
  }
}