Pith Number

pith:QN26GMRF

pith:2012:QN26GMRF2MD64EVYJ33RFEFA4D

not attested not anchored not stored refs pending

On the homotopy of Q(3) and Q(5) at the prime 2

Kyle Ormsby, Mark Behrens

arxiv:1211.0076 v5 · 2012-11-01 · 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{QN26GMRF2MD64EVYJ33RFEFA4D}

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	2026-05-18T00:58:49.200970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8375e33225d307ee12b84ef71290a0e0dc1c1369184f78f1700185f5299db6c8

Aliases

arxiv: 1211.0076 · arxiv_version: 1211.0076v5 · doi: 10.48550/arxiv.1211.0076 · pith_short_12: QN26GMRF2MD6 · pith_short_16: QN26GMRF2MD64EVY · pith_short_8: QN26GMRF

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/QN26GMRF2MD64EVYJ33RFEFA4D \
  | 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: 8375e33225d307ee12b84ef71290a0e0dc1c1369184f78f1700185f5299db6c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9e7b757e0314b48b062e65da79efac3677bfef2a8ed4127290ec53c5985e6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-11-01T02:26:36Z",
    "title_canon_sha256": "0fe257b37253499b0d77f67becd011158ac065afcdc5af8297529e08f1d1e628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0076",
    "kind": "arxiv",
    "version": 5
  }
}