Pith Number

pith:3BP74J46

pith:2017:3BP74J46D2NQINIADHELE2ZLWW

not attested not anchored not stored refs pending

Ziegler closures of some unstable tubes

Lorna Gregory

arxiv:1701.03184 v1 · 2017-01-11 · math.RT · math.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BP74J46D2NQINIADHELE2ZLWW}

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	2026-05-18T00:52:58.269710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85ffe279e1e9b04350019c8b26b2bb5935cf9d2f221540e21c0971477a5cd41

Aliases

arxiv: 1701.03184 · arxiv_version: 1701.03184v1 · doi: 10.48550/arxiv.1701.03184 · pith_short_12: 3BP74J46D2NQ · pith_short_16: 3BP74J46D2NQINIA · pith_short_8: 3BP74J46

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/3BP74J46D2NQINIADHELE2ZLWW \
  | 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: d85ffe279e1e9b04350019c8b26b2bb5935cf9d2f221540e21c0971477a5cd41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f081efac8cb3c635f5e1aaf6b6410df6cc5ff76946d950bd0e8f8c33133ed6d0",
    "cross_cats_sorted": [
      "math.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-01-11T22:51:44Z",
    "title_canon_sha256": "236802a874c7f9de2f067dadefb840a12b43c59c5b979dd4626d5d3429dde6e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03184",
    "kind": "arxiv",
    "version": 1
  }
}