Pith Number

pith:MCJGCIZE

pith:2015:MCJGCIZEELWDTCEDNKVYSMCLTE

not attested not anchored not stored refs pending

Subvarieties of the variety of meadows

Inge Bethke, Jan A. Bergstra

arxiv:1510.04021 v4 · 2015-10-14 · math.RA · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCJGCIZEELWDTCEDNKVYSMCLTE}

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	2026-05-18T00:29:02.030184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609261232422ec3988836aab89304b99258c7389f06cd5e88069e46c6dc7cb9c

Aliases

arxiv: 1510.04021 · arxiv_version: 1510.04021v4 · doi: 10.48550/arxiv.1510.04021 · pith_short_12: MCJGCIZEELWD · pith_short_16: MCJGCIZEELWDTCED · pith_short_8: MCJGCIZE

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/MCJGCIZEELWDTCEDNKVYSMCLTE \
  | 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: 609261232422ec3988836aab89304b99258c7389f06cd5e88069e46c6dc7cb9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a6482e82b31b51ebf43066948f9c313df57db175dab46243a818319961d13b",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-14T09:46:20Z",
    "title_canon_sha256": "9cd00e7f4684760bdc7834e03d66cc8f6cbcbb6780013f0d09b41cb01f63e714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04021",
    "kind": "arxiv",
    "version": 4
  }
}