Pith Number

pith:GVS3JIEC

pith:2016:GVS3JIECHQXPOUUV2CRHEBLN5Z

not attested not anchored not stored refs pending

A broad class of shellable lattices

Jay Schweig, Russ Woodroofe

arxiv:1604.03115 v2 · 2016-04-11 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVS3JIECHQXPOUUV2CRHEBLN5Z}

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	2026-05-18T00:44:24.786413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3565b4a0823c2ef75295d0a272056dee6e8db7d4f9b2a103521031988ec549a4

Aliases

arxiv: 1604.03115 · arxiv_version: 1604.03115v2 · doi: 10.48550/arxiv.1604.03115 · pith_short_12: GVS3JIECHQXP · pith_short_16: GVS3JIECHQXPOUUV · pith_short_8: GVS3JIEC

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/GVS3JIECHQXPOUUV2CRHEBLN5Z \
  | 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: 3565b4a0823c2ef75295d0a272056dee6e8db7d4f9b2a103521031988ec549a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfbd37e8cc7e952c4c2868731738d705d302b1b64f575afc660582f9f116929c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-11T20:00:04Z",
    "title_canon_sha256": "09da7c4ac44aff5fa7af1d6d77ba7a913b366e43e14f0061995225a3720db545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03115",
    "kind": "arxiv",
    "version": 2
  }
}