Pith Number

pith:6UZLTUZU

pith:2013:6UZLTUZUERMK3ILQLKOTCWEJ66

not attested not anchored not stored refs pending

Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links

Hyuk Kim, Jinseok Cho, Seonhwa Kim

arxiv:1301.6219 v4 · 2013-01-26 · 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{6UZLTUZUERMK3ILQLKOTCWEJ66}

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	2026-05-18T02:43:52.475595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f532b9d3342458ada1705a9d315889f7910e8052ac1df9733b4e86e9290455ef

Aliases

arxiv: 1301.6219 · arxiv_version: 1301.6219v4 · doi: 10.48550/arxiv.1301.6219 · pith_short_12: 6UZLTUZUERMK · pith_short_16: 6UZLTUZUERMK3ILQ · pith_short_8: 6UZLTUZU

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/6UZLTUZUERMK3ILQLKOTCWEJ66 \
  | 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: f532b9d3342458ada1705a9d315889f7910e8052ac1df9733b4e86e9290455ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6954223ba4b7fc2217c929bd46407e2f77290b53af944fbe21b3c4cd6990adde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-26T08:14:35Z",
    "title_canon_sha256": "e7390b808f5c676f3bfc28fff7108abfb2081e797d945f0065b173896782ec8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6219",
    "kind": "arxiv",
    "version": 4
  }
}