Pith Number

pith:S6OXBRDW

pith:2017:S6OXBRDWBZOQULK2ZX6TW7XR2F

not attested not anchored not stored refs pending

Linear representations of 3-manifold groups over rings

Montek Gill, Stefan Friedl, Stephan Tillmann

arxiv:1703.06609 v1 · 2017-03-20 · 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{S6OXBRDWBZOQULK2ZX6TW7XR2F}

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	2026-05-18T00:48:22.237041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979d70c4760e5d0a2d5acdfd3b7ef1d1533d05338693a82dd79be280e02baabf

Aliases

arxiv: 1703.06609 · arxiv_version: 1703.06609v1 · doi: 10.48550/arxiv.1703.06609 · pith_short_12: S6OXBRDWBZOQ · pith_short_16: S6OXBRDWBZOQULK2 · pith_short_8: S6OXBRDW

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/S6OXBRDWBZOQULK2ZX6TW7XR2F \
  | 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: 979d70c4760e5d0a2d5acdfd3b7ef1d1533d05338693a82dd79be280e02baabf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da06aea6a8e9ea52f7c9a0b70823bf608d5db4df8aa66e1a14f9072c359fc579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-20T05:32:35Z",
    "title_canon_sha256": "87f8c9e69f53cbb24b7a3749242ce23097d5a7f8dd916459e81842030e48ce4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06609",
    "kind": "arxiv",
    "version": 1
  }
}