Pith Number

pith:D3A5UKLO

pith:2011:D3A5UKLOVZN7KBJHEFNWEEBNPN

not attested not anchored not stored refs pending

Fibered orbifolds and crystallographic groups, II

John G. Ratcliffe, Steven T. Tschantz

arxiv:1112.3981 v2 · 2011-12-16 · 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{D3A5UKLOVZN7KBJHEFNWEEBNPN}

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	2026-05-18T03:44:13.604962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec1da296eae5bf50527215b62102d7b6a4c34a586aa4892197178666a7cb187

Aliases

arxiv: 1112.3981 · arxiv_version: 1112.3981v2 · doi: 10.48550/arxiv.1112.3981 · pith_short_12: D3A5UKLOVZN7 · pith_short_16: D3A5UKLOVZN7KBJH · pith_short_8: D3A5UKLO

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/D3A5UKLOVZN7KBJHEFNWEEBNPN \
  | 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: 1ec1da296eae5bf50527215b62102d7b6a4c34a586aa4892197178666a7cb187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4332d257baa8c4e7888e72d3d06a75a51fc9a082e0f8acce4de8c3307dfec417",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-16T21:49:24Z",
    "title_canon_sha256": "b2225800deeec76c49dd01c4b1c6e38cb60fee04543f7e5d446cb7a37e653a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3981",
    "kind": "arxiv",
    "version": 2
  }
}