Pith Number

pith:VFYTYKIZ

pith:2016:VFYTYKIZZJX4QRLPQJSF4WH346

not attested not anchored not stored refs pending

Bounding extremal functions of forbidden $0-1$ matrices using $(r,s)$-formations

Jesse Geneson, Meghal Gupta

arxiv:1603.06124 v1 · 2016-03-19 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFYTYKIZZJX4QRLPQJSF4WH346}

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	2026-05-18T01:18:51.733151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9713c2919ca6fc8456f82645e58fbe78d97da6c57a6391d8e3590635c760be3

Aliases

arxiv: 1603.06124 · arxiv_version: 1603.06124v1 · doi: 10.48550/arxiv.1603.06124 · pith_short_12: VFYTYKIZZJX4 · pith_short_16: VFYTYKIZZJX4QRLP · pith_short_8: VFYTYKIZ

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/VFYTYKIZZJX4QRLPQJSF4WH346 \
  | 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: a9713c2919ca6fc8456f82645e58fbe78d97da6c57a6391d8e3590635c760be3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5d54f4aeb61f491653a72c08a84ee4993f4f247b485827aa684b016fdc4d4a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-19T18:26:42Z",
    "title_canon_sha256": "f0af874a6a1d529f8a418e8a9f47f680f99bd023c5e89a901644c0e58d057957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06124",
    "kind": "arxiv",
    "version": 1
  }
}