Pith Number

pith:F53TBSIF

pith:2016:F53TBSIFROGLI5MBA7VHKO5T67

not attested not anchored not stored refs pending

Rank bounds for design matrices with block entries and geometric applications

Ankit Garg, J\'ozsef Solymosi, Rafael Oliveira, Zeev Dvir

arxiv:1610.08923 v2 · 2016-10-27 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F53TBSIFROGLI5MBA7VHKO5T67}

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	2026-05-18T00:21:35.493071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7730c9058b8cb4758107ea753bb3f7d70d6a1ae44e013cdf4926dc06902d48

Aliases

arxiv: 1610.08923 · arxiv_version: 1610.08923v2 · doi: 10.48550/arxiv.1610.08923 · pith_short_12: F53TBSIFROGL · pith_short_16: F53TBSIFROGLI5MB · pith_short_8: F53TBSIF

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/F53TBSIFROGLI5MBA7VHKO5T67 \
  | 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: 2f7730c9058b8cb4758107ea753bb3f7d70d6a1ae44e013cdf4926dc06902d48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d2ee6da296cffef9a9d0d0a7efaecd3ec4b14ccd1fac771fed164b0ecfc521",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-27T18:48:01Z",
    "title_canon_sha256": "f481915729333185cf25c37cf6c880a480698a9c0be50a1293987347b036df55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08923",
    "kind": "arxiv",
    "version": 2
  }
}