Pith Number

pith:LA43O5MH

pith:2015:LA43O5MHW32TXF67ZSJCSQLDXD

not attested not anchored not stored refs pending

Homotopy theory and generalized dimension subgroups

Jie Wu, Roman Mikhailov, Sergei O. Ivanov

arxiv:1506.08324 v1 · 2015-06-27 · math.GR · 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{LA43O5MHW32TXF67ZSJCSQLDXD}

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	2026-05-18T01:37:46.797081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5839b77587b6f53b97dfcc92294163b8d978490a1d71c84b7395b216b11cfd15

Aliases

arxiv: 1506.08324 · arxiv_version: 1506.08324v1 · doi: 10.48550/arxiv.1506.08324 · pith_short_12: LA43O5MHW32T · pith_short_16: LA43O5MHW32TXF67 · pith_short_8: LA43O5MH

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/LA43O5MHW32TXF67ZSJCSQLDXD \
  | 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: 5839b77587b6f53b97dfcc92294163b8d978490a1d71c84b7395b216b11cfd15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd5557d9183d612e146638b2b8efaae044770955de68d1dfeba88bd5b8b89b59",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-27T20:01:34Z",
    "title_canon_sha256": "3b6eda4dfc7c10c2862146b3748812d5781ab05b72ef2452e26773dbf4bc8f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08324",
    "kind": "arxiv",
    "version": 1
  }
}