Pith Number

pith:MERAYN2G

pith:2013:MERAYN2GXGY5VMEPCAVBQQJWRC

not attested not anchored not stored refs pending

Slices of Co-Operations for $KGL$

Charles Weibel, Pablo Pelaez

arxiv:1307.4005 v1 · 2013-07-15 · math.KT · math.AG · 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{MERAYN2GXGY5VMEPCAVBQQJWRC}

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	2026-05-18T00:44:29.646743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61220c3746b9b1dab08f102a184136889ab428e29cc58f79fe6e8b7fbf254b3d

Aliases

arxiv: 1307.4005 · arxiv_version: 1307.4005v1 · doi: 10.48550/arxiv.1307.4005 · pith_short_12: MERAYN2GXGY5 · pith_short_16: MERAYN2GXGY5VMEP · pith_short_8: MERAYN2G

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/MERAYN2GXGY5VMEPCAVBQQJWRC \
  | 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: 61220c3746b9b1dab08f102a184136889ab428e29cc58f79fe6e8b7fbf254b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb434b9d3e2ae2e0832a6b36886a6de2d64b76c907e65e607cec9722009f259",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-07-15T16:17:30Z",
    "title_canon_sha256": "35728338be32739478ebb23a9d0cffc432d89843e1f7bea4730addfa4887a015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4005",
    "kind": "arxiv",
    "version": 1
  }
}