Pith Number

pith:RYGBQMDO

pith:2012:RYGBQMDOXWZBQJ3IHS4GGFFWEI

not attested not anchored not stored refs pending

Commutative ring objects in pro-categories and generalized Moore spectra

Daniel G. Davis, Tyler Lawson

arxiv:1208.4519 v3 · 2012-08-22 · 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{RYGBQMDOXWZBQJ3IHS4GGFFWEI}

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	2026-05-18T02:38:17.663567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0c18306ebdb21827683cb86314b6223f85ab643424f51b93511a18dcbac2ec

Aliases

arxiv: 1208.4519 · arxiv_version: 1208.4519v3 · doi: 10.48550/arxiv.1208.4519 · pith_short_12: RYGBQMDOXWZB · pith_short_16: RYGBQMDOXWZBQJ3I · pith_short_8: RYGBQMDO

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/RYGBQMDOXWZBQJ3IHS4GGFFWEI \
  | 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: 8e0c18306ebdb21827683cb86314b6223f85ab643424f51b93511a18dcbac2ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a9b65281988e24ddb84490938f428fcf3c972d2502cd92d8a329408cd5378e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-22T15:05:00Z",
    "title_canon_sha256": "06a036bdbadb48c402e286fb308b57d4b706177ba4753b641d8c27627fdf63e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4519",
    "kind": "arxiv",
    "version": 3
  }
}