Pith Number

pith:KURLSODW

pith:2015:KURLSODWDG4DXKTZ2KJC25DLHH

not attested not anchored not stored refs pending

On the realizability of group actions

Antonio Viruel, Cristina Costoya

arxiv:1511.06322 v1 · 2015-11-19 · math.AT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KURLSODWDG4DXKTZ2KJC25DLHH}

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	2026-05-18T01:26:25.910376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5522b9387619b83baa79d2922d746b39f49c3369057e4816c63b2ecb016f7a99

Aliases

arxiv: 1511.06322 · arxiv_version: 1511.06322v1 · doi: 10.48550/arxiv.1511.06322 · pith_short_12: KURLSODWDG4D · pith_short_16: KURLSODWDG4DXKTZ · pith_short_8: KURLSODW

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/KURLSODWDG4DXKTZ2KJC25DLHH \
  | 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: 5522b9387619b83baa79d2922d746b39f49c3369057e4816c63b2ecb016f7a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e28c73160925e49e00a5a4506f560b7f42814121edd7d4120f96f3bbb33e63b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-19T19:37:26Z",
    "title_canon_sha256": "f4d41c111f8329c3585ce2e19729fae513bb401892e414fb773ba2774045511d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06322",
    "kind": "arxiv",
    "version": 1
  }
}