Pith Number

pith:2ZED5QYS

pith:2017:2ZED5QYSNM2VLFCZRHU3GYMJLX

not attested not anchored not stored refs pending

Generalized Gottlieb and Whitehead center groups of space forms

Marek Golasi\'nski, Thiago de Melo

arxiv:1708.04707 v1 · 2017-08-15 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZED5QYSNM2VLFCZRHU3GYMJLX}

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	2026-05-18T00:37:58.136080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6483ec3126b3555945989e9b361895dd92ad8e48ed149ee61702db1bc4ed089

Aliases

arxiv: 1708.04707 · arxiv_version: 1708.04707v1 · doi: 10.48550/arxiv.1708.04707 · pith_short_12: 2ZED5QYSNM2V · pith_short_16: 2ZED5QYSNM2VLFCZ · pith_short_8: 2ZED5QYS

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/2ZED5QYSNM2VLFCZRHU3GYMJLX \
  | 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: d6483ec3126b3555945989e9b361895dd92ad8e48ed149ee61702db1bc4ed089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f5fe04f375da02984c206b7a306370586cb361bc5ac81b1f1693632ff87cb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-08-15T22:22:48Z",
    "title_canon_sha256": "c8f5b8fd301e48ce8c31b3279864ebf749ab830808e71eeb51495563fe4561dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04707",
    "kind": "arxiv",
    "version": 1
  }
}