Pith Number

pith:6Z7O2IBF

pith:2012:6Z7O2IBFH7VBOWMWQ7JIOEO6DI

not attested not anchored not stored refs pending

The realizability of operations on homotopy groups concentrated in two degrees

Hans-Joachim Baues, Martin Frankland

arxiv:1208.2184 v2 · 2012-08-10 · 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{6Z7O2IBFH7VBOWMWQ7JIOEO6DI}

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	2026-05-18T01:26:58.717126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67eed20253fea17599687d28711de1a0e43b79f10bb529e23d445fcc34f6010

Aliases

arxiv: 1208.2184 · arxiv_version: 1208.2184v2 · doi: 10.48550/arxiv.1208.2184 · pith_short_12: 6Z7O2IBFH7VB · pith_short_16: 6Z7O2IBFH7VBOWMW · pith_short_8: 6Z7O2IBF

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/6Z7O2IBFH7VBOWMWQ7JIOEO6DI \
  | 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: f67eed20253fea17599687d28711de1a0e43b79f10bb529e23d445fcc34f6010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea129c7dedcd7f7f9f0bc15d7b5de21c415010fba4e5dae68cc26666435c7a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-10T14:18:02Z",
    "title_canon_sha256": "e53a57a26342e0a0840a07c009c687b7c5f025d974a1772059297cfe4b4d6f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2184",
    "kind": "arxiv",
    "version": 2
  }
}