Pith Number

pith:GYG22TRL

pith:2023:GYG22TRLSSA7HE2YMU6T5WENAG

not attested not anchored not stored refs pending

Invariants of virtual links and twisted links using affine indices

Naoko Kamada, Seiichi Kamada

arxiv:2312.05489 v3 · 2023-12-09 · 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{GYG22TRLSSA7HE2YMU6T5WENAG}

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.

Cited by

1 paper in Pith

Classification of virtual links by arc shift move

Receipt and verification

First computed	2026-07-05T08:51:45.107619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360dad4e2b9481f39358653d3ed88d018656b02eda26c5afb6f89d2a3b815031

Aliases

arxiv: 2312.05489 · arxiv_version: 2312.05489v3 · doi: 10.48550/arxiv.2312.05489 · pith_short_12: GYG22TRLSSA7 · pith_short_16: GYG22TRLSSA7HE2Y · pith_short_8: GYG22TRL

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/GYG22TRLSSA7HE2YMU6T5WENAG \
  | 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: 360dad4e2b9481f39358653d3ed88d018656b02eda26c5afb6f89d2a3b815031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27d94fcc9ef3ec4b27ffa36377201844d9b99fd8707319fcba9eb14e6a61a336",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-12-09T07:34:14Z",
    "title_canon_sha256": "e4fa7bdad7589d2eaeecac6fcf40eb1a2333c31edf8a0fa9ff3d81275412279d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.05489",
    "kind": "arxiv",
    "version": 3
  }
}