Pith Number

pith:PBKUR43I

pith:2026:PBKUR43IB7TU3RXE2K4UPLUB5E

not attested not anchored not stored refs pending

Adjoint Reidemeister torsion of 3-manifolds with torus boundary for semisimple algebraic groups

Tsukasa Ishibashi, Yuma Mizuno

arxiv:2603.00816 v2 · 2026-02-28 · math.GT · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBKUR43IB7TU3RXE2K4UPLUB5E}

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	2026-06-03T01:05:49.382297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785548f3680fe74dc6e4d2b947ae81e922348c4b8e54a6edbb389bb3699b73e4

Aliases

arxiv: 2603.00816 · arxiv_version: 2603.00816v2 · doi: 10.48550/arxiv.2603.00816 · pith_short_12: PBKUR43IB7TU · pith_short_16: PBKUR43IB7TU3RXE · pith_short_8: PBKUR43I

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/PBKUR43IB7TU3RXE2K4UPLUB5E \
  | 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: 785548f3680fe74dc6e4d2b947ae81e922348c4b8e54a6edbb389bb3699b73e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a1536c482d79edca5b95363602ea7727168704ad49925bf74e45835428f84e",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-02-28T21:25:59Z",
    "title_canon_sha256": "9c2366e966453ea7e9b488389a601fb16d4dbace0ee9ca03e460d5df6ebff313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.00816",
    "kind": "arxiv",
    "version": 2
  }
}