Pith Number

pith:QSNOY5DJ

pith:2012:QSNOY5DJR77T2YQIMWHEI3M4VO

not attested not anchored not stored refs pending

3-manifold groups

Henry Wilton, Matthias Aschenbrenner, Stefan Friedl

arxiv:1205.0202 v3 · 2012-05-01 · math.GT · 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{QSNOY5DJR77T2YQIMWHEI3M4VO}

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	2026-05-18T03:27:11.476382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

849aec74698fff3d6208658e446d9cabae68444cc5efb9e29397b59510361cb5

Aliases

arxiv: 1205.0202 · arxiv_version: 1205.0202v3 · doi: 10.48550/arxiv.1205.0202 · pith_short_12: QSNOY5DJR77T · pith_short_16: QSNOY5DJR77T2YQI · pith_short_8: QSNOY5DJ

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/QSNOY5DJR77T2YQIMWHEI3M4VO \
  | 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: 849aec74698fff3d6208658e446d9cabae68444cc5efb9e29397b59510361cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b87bf5a95751a6560f39e66539aebab45e7b72c60657254bc1618b965ae8690",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-01T16:06:21Z",
    "title_canon_sha256": "91aea785caa7e78489d7cc43121db9a1feebafcbe475d42ad116f920286adb5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0202",
    "kind": "arxiv",
    "version": 3
  }
}