Pith Number

pith:LCSWJ5VK

pith:2017:LCSWJ5VKYJEICZAGU6O6YEGCVU

not attested not anchored not stored refs pending

Volumes of $\mathrm{SL}_n\mathbb{C}$-representations of hyperbolic 3-manifolds

Joan Porti, Wolfgang Pitsch

arxiv:1704.01321 v2 · 2017-04-05 · 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{LCSWJ5VKYJEICZAGU6O6YEGCVU}

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	2026-05-17T23:58:05.554938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a564f6aac248816406a79dec10c2ad3393790a229c27d351e43a7c2a2d6d01

Aliases

arxiv: 1704.01321 · arxiv_version: 1704.01321v2 · doi: 10.48550/arxiv.1704.01321 · pith_short_12: LCSWJ5VKYJEI · pith_short_16: LCSWJ5VKYJEICZAG · pith_short_8: LCSWJ5VK

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/LCSWJ5VKYJEICZAGU6O6YEGCVU \
  | 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: 58a564f6aac248816406a79dec10c2ad3393790a229c27d351e43a7c2a2d6d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd7932bdc91512951c7d85a9bc2a1d80ff6af891ee62a9874f2ac36837301d69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-05T09:22:13Z",
    "title_canon_sha256": "10670f8a7681f30280c11897674be8e3886ef5c80857d45b37f054fe9a9800ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01321",
    "kind": "arxiv",
    "version": 2
  }
}