Pith Number

pith:KBMMX663

pith:2013:KBMMX663JXGIXQSLXOEJ2WPQLI

not attested not anchored not stored refs pending

Contact perturbations of Reebless foliations are universally tight

Jonathan Bowden

arxiv:1312.2993 v1 · 2013-12-10 · 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{KBMMX663JXGIXQSLXOEJ2WPQLI}

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	2026-05-18T03:05:00.839102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5058cbfbdb4dcc8bc24bbb889d59f05a2019ffa3eea7c7cacefd758b0b72d4fc

Aliases

arxiv: 1312.2993 · arxiv_version: 1312.2993v1 · doi: 10.48550/arxiv.1312.2993 · pith_short_12: KBMMX663JXGI · pith_short_16: KBMMX663JXGIXQSL · pith_short_8: KBMMX663

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/KBMMX663JXGIXQSLXOEJ2WPQLI \
  | 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: 5058cbfbdb4dcc8bc24bbb889d59f05a2019ffa3eea7c7cacefd758b0b72d4fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fcb636632e9113b5d6370390bb2cbbbc4d86b63cbc5f48b40d7814944fe6d4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-10T23:06:56Z",
    "title_canon_sha256": "362888c6d49a96450b1d1a29f8495c4b0cc3263e31d5989b4612868587626b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2993",
    "kind": "arxiv",
    "version": 1
  }
}