Pith Number

pith:HOLRQY5Y

pith:2026:HOLRQY5YMYAJCOCVSTKYEZKHRE

not attested not anchored not stored refs pending

Integrality of genus-$g$ indices with adjoint Reidemeister torsions of twist knots

Ryoto Tange, Yoshikazu Yamaguchi, Yuji Terashima

arxiv:2606.27006 v1 · 2026-06-25 · math.GT · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOLRQY5YMYAJCOCVSTKYEZKHRE}

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	2026-06-26T01:16:06.504387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b971863b8660091385594d582654789033505752462353f72b32bed432785fe

Aliases

arxiv: 2606.27006 · arxiv_version: 2606.27006v1 · doi: 10.48550/arxiv.2606.27006 · pith_short_12: HOLRQY5YMYAJ · pith_short_16: HOLRQY5YMYAJCOCV · pith_short_8: HOLRQY5Y

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/HOLRQY5YMYAJCOCVSTKYEZKHRE \
  | 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: 3b971863b8660091385594d582654789033505752462353f72b32bed432785fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a231d5862d599b6a84b7353d1b38cc3b0b4e737d964fb5dc327a9e51f1e4c51f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-25T13:22:25Z",
    "title_canon_sha256": "bb79f296a2cd569112bace82e4997e652aa2ecdd93bffee73d7ac4babb0cf12f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27006",
    "kind": "arxiv",
    "version": 1
  }
}