Pith Number

pith:R3YXRCIY

pith:2010:R3YXRCIY6XGKCTXS3NLPYU7JE3

not attested not anchored not stored refs pending

An explicit description of the simplicial group $K(A,n)$

Mihai D. Staic

arxiv:1011.4132 v1 · 2010-11-18 · 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{R3YXRCIY6XGKCTXS3NLPYU7JE3}

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	2026-05-18T04:35:46.594744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef1788918f5cca14ef2db56fc53e926c37f35e30ceb1c1a7c9bcc5b0f1e3299

Aliases

arxiv: 1011.4132 · arxiv_version: 1011.4132v1 · doi: 10.48550/arxiv.1011.4132 · pith_short_12: R3YXRCIY6XGK · pith_short_16: R3YXRCIY6XGKCTXS · pith_short_8: R3YXRCIY

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/R3YXRCIY6XGKCTXS3NLPYU7JE3 \
  | 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: 8ef1788918f5cca14ef2db56fc53e926c37f35e30ceb1c1a7c9bcc5b0f1e3299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008db89893ba4d0feafe3a282748183e9925d0342d69e6fb46588de2dcc1feaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-11-18T04:27:35Z",
    "title_canon_sha256": "bacb72dbc98f07b9fdd0bc194de463ac2b460588c8c6aa5c36f7a9e48a4d052a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4132",
    "kind": "arxiv",
    "version": 1
  }
}