Pith Number

pith:R7KJLL2K

pith:2002:R7KJLL2KNLX2ZFDL4PP2P3OKNE

not attested not anchored not stored refs pending

An infinite family of tight, not semi-fillable contact three-manifolds

Andras I Stipsicz, Paolo Lisca

arxiv:math/0208063 v2 · 2002-08-08 · math.SG · 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{R7KJLL2KNLX2ZFDL4PP2P3OKNE}

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	2026-05-18T02:38:00.613726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fd495af4a6aefac946be3dfa7edca690770338ec17dc9bad1d1af1e25b2a757

Aliases

arxiv: math/0208063 · arxiv_version: math/0208063v2 · doi: 10.48550/arxiv.math/0208063 · pith_short_12: R7KJLL2KNLX2 · pith_short_16: R7KJLL2KNLX2ZFDL · pith_short_8: R7KJLL2K

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/R7KJLL2KNLX2ZFDL4PP2P3OKNE \
  | 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: 8fd495af4a6aefac946be3dfa7edca690770338ec17dc9bad1d1af1e25b2a757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d2dabb0552f397da7c091b9cbaa9991822fac4656a9912bb4b6afa8ae38580",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2002-08-08T09:53:32Z",
    "title_canon_sha256": "934ef117bfc9d589c5050dd6b4301ad37735079b525907c0724398b5d9ff2883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208063",
    "kind": "arxiv",
    "version": 2
  }
}