Pith Number

pith:KYIPB6VN

pith:2017:KYIPB6VNS2SOKXPTOUSYFQSPP2

not attested not anchored not stored refs pending

Grothendieck rigidity of 3-manifold groups

Michel Boileau, Stefan Friedl

arxiv:1710.02746 v2 · 2017-10-07 · 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{KYIPB6VNS2SOKXPTOUSYFQSPP2}

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	2026-05-18T00:32:25.397136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5610f0faad96a4e55df3752582c24f7e8bd7b3c2921563b51c83339fdc812b96

Aliases

arxiv: 1710.02746 · arxiv_version: 1710.02746v2 · doi: 10.48550/arxiv.1710.02746 · pith_short_12: KYIPB6VNS2SO · pith_short_16: KYIPB6VNS2SOKXPT · pith_short_8: KYIPB6VN

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/KYIPB6VNS2SOKXPTOUSYFQSPP2 \
  | 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: 5610f0faad96a4e55df3752582c24f7e8bd7b3c2921563b51c83339fdc812b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577b299658825ad7ab25b689240ea35d5d3a5a00db208469f0d3e2ed98506280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-10-07T20:49:14Z",
    "title_canon_sha256": "d6ad7f8440a68d11c1be724a3066a0d7f507c65fe171157536e7e8c28fa3ce4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02746",
    "kind": "arxiv",
    "version": 2
  }
}