Pith Number

pith:ETL3XNJS

pith:2019:ETL3XNJSBSMMX5HX6YISUT4A6B

not attested not anchored not stored refs pending

Kashaev invariants of twice-iterated torus knots

Anh T. Tran, Hitoshi Murakami

arxiv:1904.01217 v2 · 2019-04-02 · 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{ETL3XNJSBSMMX5HX6YISUT4A6B}

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	2026-05-17T23:49:08.592133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d7bbb5320c98cbf4f7f6112a4f80f0563703a733dd5478d75190c3101abefd

Aliases

arxiv: 1904.01217 · arxiv_version: 1904.01217v2 · doi: 10.48550/arxiv.1904.01217 · pith_short_12: ETL3XNJSBSMM · pith_short_16: ETL3XNJSBSMMX5HX · pith_short_8: ETL3XNJS

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/ETL3XNJSBSMMX5HX6YISUT4A6B \
  | 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: 24d7bbb5320c98cbf4f7f6112a4f80f0563703a733dd5478d75190c3101abefd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "089b41eaa4ea80b26e5d0088503857dee08d4fce952bfaa59d7ca1296829c135",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-02T05:07:19Z",
    "title_canon_sha256": "1efe6f2188702f15ed93a60db3125580b63b67f831be91b5b5169d3d0a9d38e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01217",
    "kind": "arxiv",
    "version": 2
  }
}