Pith Number

pith:WCNW6ZU3

pith:2015:WCNW6ZU3GWQFOTXETEPGYAECWR

not attested not anchored not stored refs pending

Quasiminimal structures, groups and Zariski-like geometries

Kaisa Kangas, Tapani Hyttinen

arxiv:1502.01039 v3 · 2015-02-03 · math.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{WCNW6ZU3GWQFOTXETEPGYAECWR}

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	2026-05-18T00:51:07.624209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09b6f669b35a0574ee4991e6c0082b4536b6005ba703e6d220cdfe6e65ea86f

Aliases

arxiv: 1502.01039 · arxiv_version: 1502.01039v3 · doi: 10.48550/arxiv.1502.01039 · pith_short_12: WCNW6ZU3GWQF · pith_short_16: WCNW6ZU3GWQFOTXE · pith_short_8: WCNW6ZU3

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/WCNW6ZU3GWQFOTXETEPGYAECWR \
  | 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: b09b6f669b35a0574ee4991e6c0082b4536b6005ba703e6d220cdfe6e65ea86f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7015d41e75c4e60f9fb4c6bac5e340b3aaf794cd04ed4230c9c9691af830aa38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-02-03T21:29:48Z",
    "title_canon_sha256": "1261d0b897e69cfd2190a25159316e51fdec02655ae77b1ed1ce60ed8ad477b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01039",
    "kind": "arxiv",
    "version": 3
  }
}