Pith Number

pith:RVIHDJZG

pith:2011:RVIHDJZGFUVLITWKOL6JJ5OKSY

not attested not anchored not stored refs pending

The Cosmic Galois group as Koszul dual to Waldhausen's A(pt)

Jack Morava

arxiv:1108.4627 v1 · 2011-08-23 · 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{RVIHDJZGFUVLITWKOL6JJ5OKSY}

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	2026-05-18T04:14:54.053142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d5071a7262d2ab44eca72fc94f5ca963953f7d30b4b43783dfdb61234cb3860

Aliases

arxiv: 1108.4627 · arxiv_version: 1108.4627v1 · doi: 10.48550/arxiv.1108.4627 · pith_short_12: RVIHDJZGFUVL · pith_short_16: RVIHDJZGFUVLITWK · pith_short_8: RVIHDJZG

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/RVIHDJZGFUVLITWKOL6JJ5OKSY \
  | 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: 8d5071a7262d2ab44eca72fc94f5ca963953f7d30b4b43783dfdb61234cb3860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2cbae833eca3010449102ec9978c81b01f040eb9bc0670044d396f18d388420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-08-23T15:10:20Z",
    "title_canon_sha256": "3c0bef85ad3fdb78ad01299e3c75d69e07b4189080b801bc016e8a0c7206aca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4627",
    "kind": "arxiv",
    "version": 1
  }
}