Pith Number

pith:CI6TBZOK

pith:2009:CI6TBZOKUVO6R7IT2Z3NGJGABT

not attested not anchored not stored refs pending

There is a unique real tight contact 3-ball

Ferit Ozturk, Nermin Salepci

arxiv:0912.5231 v1 · 2009-12-29 · 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{CI6TBZOKUVO6R7IT2Z3NGJGABT}

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	2026-05-18T00:10:48.488387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

123d30e5caa55de8fd13d676d324c00cf6874c408b4f7ac7006f019c1e04a70a

Aliases

arxiv: 0912.5231 · arxiv_version: 0912.5231v1 · doi: 10.48550/arxiv.0912.5231 · pith_short_12: CI6TBZOKUVO6 · pith_short_16: CI6TBZOKUVO6R7IT · pith_short_8: CI6TBZOK

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/CI6TBZOKUVO6R7IT2Z3NGJGABT \
  | 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: 123d30e5caa55de8fd13d676d324c00cf6874c408b4f7ac7006f019c1e04a70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe902f792b46fcda2bf7291664cbc089c8c5eb5a3cf4eb866243be72c72fdd1e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-12-29T00:17:10Z",
    "title_canon_sha256": "98fb13ae4d921f522e4e9903a72759c3e6749db67d25c2b8ba65e0a348facac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5231",
    "kind": "arxiv",
    "version": 1
  }
}