Pith Number

pith:UVXMAAJS

pith:2011:UVXMAAJSP6IO56PWF2NWEHMI3E

not attested not anchored not stored refs pending

On the violation of Thurston-Bennequin inequality for a certain non-convex hypersurface

Atsuhide Mori

arxiv:1111.0383 v1 · 2011-11-02 · 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{UVXMAAJSP6IO56PWF2NWEHMI3E}

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	2026-05-18T04:09:45.107934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a56ec001327f90eef9f62e9b621d88d9244cee8e09128607fe3d886bbe27b3f3

Aliases

arxiv: 1111.0383 · arxiv_version: 1111.0383v1 · doi: 10.48550/arxiv.1111.0383 · pith_short_12: UVXMAAJSP6IO · pith_short_16: UVXMAAJSP6IO56PW · pith_short_8: UVXMAAJS

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/UVXMAAJSP6IO56PWF2NWEHMI3E \
  | 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: a56ec001327f90eef9f62e9b621d88d9244cee8e09128607fe3d886bbe27b3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "127d5685d1056d84cb272924275f7dcc2e732e28255a24cd6df1a119166f0251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-02T04:36:10Z",
    "title_canon_sha256": "f5ca88eb09bec821d487059ef57b3f50871104adc249e95f7ea2fe63a7d381e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0383",
    "kind": "arxiv",
    "version": 1
  }
}