Pith Number

pith:Y5L6HBXI

pith:2017:Y5L6HBXIOHIYSGI6HKCHJTCITB

not attested not anchored not stored refs pending

A full-twist inequality for the $\nu^+$-invariant

Kouki Sato

arxiv:1706.02820 v1 · 2017-06-09 · 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{Y5L6HBXIOHIYSGI6HKCHJTCITB}

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	2026-05-17T23:56:00.227259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c757e386e871d189191e3a8474cc4898657722d86e31b940710361c4dc35c408

Aliases

arxiv: 1706.02820 · arxiv_version: 1706.02820v1 · doi: 10.48550/arxiv.1706.02820 · pith_short_12: Y5L6HBXIOHIY · pith_short_16: Y5L6HBXIOHIYSGI6 · pith_short_8: Y5L6HBXI

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/Y5L6HBXIOHIYSGI6HKCHJTCITB \
  | 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: c757e386e871d189191e3a8474cc4898657722d86e31b940710361c4dc35c408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43e7d6bd62f488ae198c738c212ab0f13cf3f8aaad47eb9ab22bf44f456ee53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-09T03:28:54Z",
    "title_canon_sha256": "f355de45b768a10311ed8db3bbcc221d8078e43eb40b136636d3561af54707f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02820",
    "kind": "arxiv",
    "version": 1
  }
}