Pith Number

pith:CCTDOJLT

pith:2013:CCTDOJLTSGJUENAXNDRNIWHSEB

not attested not anchored not stored refs pending

On representation varieties of 3-manifold groups

John J. Millson, Michael Kapovich

arxiv:1303.2347 v2 · 2013-03-10 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCTDOJLTSGJUENAXNDRNIWHSEB}

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	2026-05-18T00:42:33.748857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a6372573919342341768e2d458f2207d9978485e5c06c000d92545c0e6fa32

Aliases

arxiv: 1303.2347 · arxiv_version: 1303.2347v2 · doi: 10.48550/arxiv.1303.2347 · pith_short_12: CCTDOJLTSGJU · pith_short_16: CCTDOJLTSGJUENAX · pith_short_8: CCTDOJLT

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/CCTDOJLTSGJUENAXNDRNIWHSEB \
  | 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: 10a6372573919342341768e2d458f2207d9978485e5c06c000d92545c0e6fa32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6c9fee041532e314b9addeea2be65a8becd8a0578a030877c90ef307f92afbf",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-10T17:40:29Z",
    "title_canon_sha256": "494678b04d8c2e593a55f69e3a4c85ba11837383b3932a69f684a6614ccda387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2347",
    "kind": "arxiv",
    "version": 2
  }
}