Pith Number

pith:GDMPPEWK

pith:2015:GDMPPEWKDQSWZNIHZAAO6SRKTV

not attested not anchored not stored refs pending

On equivariant and invariant topological complexity of smooth $\mathbb{Z}/p$-spheres

Marek Kaluba, Zbigniew B{\l}aszczyk

arxiv:1501.07724 v2 · 2015-01-30 · 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{GDMPPEWKDQSWZNIHZAAO6SRKTV}

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	2026-05-18T00:40:41.898764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d8f792ca1c256cb507c800ef4a2a9d786cc6f38f54122a4606e65b43486aa8

Aliases

arxiv: 1501.07724 · arxiv_version: 1501.07724v2 · doi: 10.48550/arxiv.1501.07724 · pith_short_12: GDMPPEWKDQSW · pith_short_16: GDMPPEWKDQSWZNIH · pith_short_8: GDMPPEWK

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/GDMPPEWKDQSWZNIHZAAO6SRKTV \
  | 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: 30d8f792ca1c256cb507c800ef4a2a9d786cc6f38f54122a4606e65b43486aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c112ba1475410eae0e64d99d32fdbde6fd243a3945eef4919bfcb53f3ef553",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-30T10:53:34Z",
    "title_canon_sha256": "5cba5d258c744d04bea2ac361c0c214e2721688e047bcf110300cfcace9a0018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07724",
    "kind": "arxiv",
    "version": 2
  }
}