Pith Number

pith:FZWJ4TTJ

pith:2015:FZWJ4TTJ7O77REAW7GIMWE66AF

not attested not anchored not stored refs pending

A Combinatorial Problem Related to Sparse Systems of Equations

Igor Semaev, Peter Horak, Zsolt Tuza

arxiv:1512.00943 v1 · 2015-12-03 · 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{FZWJ4TTJ7O77REAW7GIMWE66AF}

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	2026-05-18T01:25:23.776589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e6c9e4e69fbbff89016f990cb13de016ac3ab814ce1714b7e3a12c23b946cb1

Aliases

arxiv: 1512.00943 · arxiv_version: 1512.00943v1 · doi: 10.48550/arxiv.1512.00943 · pith_short_12: FZWJ4TTJ7O77 · pith_short_16: FZWJ4TTJ7O77REAW · pith_short_8: FZWJ4TTJ

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/FZWJ4TTJ7O77REAW7GIMWE66AF \
  | 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: 2e6c9e4e69fbbff89016f990cb13de016ac3ab814ce1714b7e3a12c23b946cb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4ff7d418de50e9d316399b6ed4a98bed4538ff6f3bf573c19b0c4fc60cb719",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-03T04:28:17Z",
    "title_canon_sha256": "ccaa59950e33144c351f1112110fe94411d04b358b54806e7ba9c33ae861e500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00943",
    "kind": "arxiv",
    "version": 1
  }
}