Pith Number

pith:2FK64T37

pith:2016:2FK64T37TZDVNCLLTQ4EUTVWQ7

not attested not anchored not stored refs pending

Integer homology 3-spheres admit irreducible representations in SL(2,C)

Raphael Zentner

arxiv:1605.08530 v4 · 2016-05-27 · math.GT · math.DG · math.GR · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FK64T37TZDVNCLLTQ4EUTVWQ7}

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	2026-05-18T00:10:32.501548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d155ee4f7f9e4756896b9c384a4eb687f13e044732483da661361b810ba0ad5d

Aliases

arxiv: 1605.08530 · arxiv_version: 1605.08530v4 · doi: 10.48550/arxiv.1605.08530 · pith_short_12: 2FK64T37TZDV · pith_short_16: 2FK64T37TZDVNCLL · pith_short_8: 2FK64T37

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/2FK64T37TZDVNCLLTQ4EUTVWQ7 \
  | 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: d155ee4f7f9e4756896b9c384a4eb687f13e044732483da661361b810ba0ad5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e6729a458852ee6e1c351d0f2ac45c64a64a2f006758a922ac2868be69347c",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-27T08:06:46Z",
    "title_canon_sha256": "44442ba5567211f777c674db8e94fceb2b7924c7ced258f9576f218f8a5c3a07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08530",
    "kind": "arxiv",
    "version": 4
  }
}