Pith Number

pith:7AASAWZL

pith:2012:7AASAWZLU6AX2J67XOPPV44BZV

not attested not anchored not stored refs pending

Cluster Algebra and Complex Volume of Once-Punctured Torus Bundles and Two-Bridge Knots

Kazuhiro Hikami, Rei Inoue

arxiv:1212.6042 v3 · 2012-12-25 · math.GT · 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{7AASAWZLU6AX2J67XOPPV44BZV}

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

Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

Receipt and verification

First computed	2026-05-18T02:34:52.813521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f801205b2ba7817d27dfbb9efaf381cd562cd66c4fe8674a93780f6448779870

Aliases

arxiv: 1212.6042 · arxiv_version: 1212.6042v3 · doi: 10.48550/arxiv.1212.6042 · pith_short_12: 7AASAWZLU6AX · pith_short_16: 7AASAWZLU6AX2J67 · pith_short_8: 7AASAWZL

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/7AASAWZLU6AX2J67XOPPV44BZV \
  | 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: f801205b2ba7817d27dfbb9efaf381cd562cd66c4fe8674a93780f6448779870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400de2c85dde1fabec6d3ecbf49268aa8a6a07dee9579e7b8b701fcf7bb863db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-25T13:03:27Z",
    "title_canon_sha256": "7d03fcf5483c26c35ced443e4f76ded3bb850f6bee5571f3de4ee178e7775ef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6042",
    "kind": "arxiv",
    "version": 3
  }
}