Pith Number

pith:BDBOTOVZ

pith:2016:BDBOTOVZAQFBU22O5XKMJV4JBA

not attested not anchored not stored refs pending

Resilience of ranks of higher inclusion matrices

Qing Xiang, Rafael Plaza

arxiv:1612.08124 v3 · 2016-12-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDBOTOVZAQFBU22O5XKMJV4JBA}

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	2026-05-18T00:34:05.052791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c2e9bab9040a1a6b4eedd4c4d7890817005b49cc570c90811baea18338ccda

Aliases

arxiv: 1612.08124 · arxiv_version: 1612.08124v3 · doi: 10.48550/arxiv.1612.08124 · pith_short_12: BDBOTOVZAQFB · pith_short_16: BDBOTOVZAQFBU22O · pith_short_8: BDBOTOVZ

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/BDBOTOVZAQFBU22O5XKMJV4JBA \
  | 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: 08c2e9bab9040a1a6b4eedd4c4d7890817005b49cc570c90811baea18338ccda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8361128b0174e2584d9fb3609c788c159f86c9e620ff3e3c6e06bcea63c479a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-24T01:50:25Z",
    "title_canon_sha256": "8c79a53cd3b7295d7e27ac7709ca4fc219b2096c1fe9f5810a578e3a739858f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08124",
    "kind": "arxiv",
    "version": 3
  }
}