Pith Number

pith:G64CKTGJ

pith:2012:G64CKTGJMFXWCY5JVCYNZW55EJ

not attested not anchored not stored refs pending

Flat manifolds with holonomy group Z_2^k of diagonal type

Andrzej Szczepa\'nski, Anna G\k{a}sior

arxiv:1204.2127 v2 · 2012-04-10 · math.AT · 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{G64CKTGJMFXWCY5JVCYNZW55EJ}

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	2026-05-18T03:58:12.241395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b8254cc9616f6163a9a8b0dcdbbd22735e1153d3bc7bb5039b3b44f25c68a2

Aliases

arxiv: 1204.2127 · arxiv_version: 1204.2127v2 · doi: 10.48550/arxiv.1204.2127 · pith_short_12: G64CKTGJMFXW · pith_short_16: G64CKTGJMFXWCY5J · pith_short_8: G64CKTGJ

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/G64CKTGJMFXWCY5JVCYNZW55EJ \
  | 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: 37b8254cc9616f6163a9a8b0dcdbbd22735e1153d3bc7bb5039b3b44f25c68a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6df6516d75d30dc7e579ba686e2c4f9d2f38baebfd965ca7a7202f91f1629aba",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-10T12:41:51Z",
    "title_canon_sha256": "18b2bee76213784295221032b5f69e3f2414d631b2688119abf621aa482ad736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2127",
    "kind": "arxiv",
    "version": 2
  }
}