Pith Number

pith:6Y3WULEY

pith:2011:6Y3WULEYBAH5E3JMRDPQ2SXLN2

not attested not anchored not stored refs pending

Ranks of 0-1 arrays of size 2 x 2 x 2 and 2 x 2 x 2 x 2

Murray R. Bremner, Stavros G. Stavrou

arxiv:1112.0298 v1 · 2011-12-01 · 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{6Y3WULEYBAH5E3JMRDPQ2SXLN2}

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	2026-05-18T04:07:16.358534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6376a2c98080fd26d2c88df0d4aeb6ea78a2cb2ba97351281c4f9502de7ebd6

Aliases

arxiv: 1112.0298 · arxiv_version: 1112.0298v1 · doi: 10.48550/arxiv.1112.0298 · pith_short_12: 6Y3WULEYBAH5 · pith_short_16: 6Y3WULEYBAH5E3JM · pith_short_8: 6Y3WULEY

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/6Y3WULEYBAH5E3JMRDPQ2SXLN2 \
  | 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: f6376a2c98080fd26d2c88df0d4aeb6ea78a2cb2ba97351281c4f9502de7ebd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5cb218cfcf20e4d32cb00e22f1393ce09d1b0f3fe776b57f5e30996ef96f3f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-01T20:36:24Z",
    "title_canon_sha256": "28893ade1fc0e0a33416b273cd7b50416e32aed3af752fcf7c02169020c69350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0298",
    "kind": "arxiv",
    "version": 1
  }
}