Pith Number

pith:N4F5YH4H

pith:2017:N4F5YH4HPKJVDRHMR3GCQSY65Y

not attested not anchored not stored refs pending

Exponential Lower Bounds on the Generalized Erd\H{o}s-Ginzburg-Ziv Constant

Jared Bitz, Sarah Griffith, Xiaoyu He

arxiv:1712.00861 v2 · 2017-12-04 · 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{N4F5YH4HPKJVDRHMR3GCQSY65Y}

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	2026-07-05T03:36:50.307741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0bdc1f877a9351c4ec8ecc284b1eee3a29da3af6c0963150b0fbb3dacd7477

Aliases

arxiv: 1712.00861 · arxiv_version: 1712.00861v2 · doi: 10.48550/arxiv.1712.00861 · pith_short_12: N4F5YH4HPKJV · pith_short_16: N4F5YH4HPKJVDRHM · pith_short_8: N4F5YH4H

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/N4F5YH4HPKJVDRHMR3GCQSY65Y \
  | 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: 6f0bdc1f877a9351c4ec8ecc284b1eee3a29da3af6c0963150b0fbb3dacd7477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64adba64080cd1c122233da3334478017fcc83cb2bbfa2d927904a0be06e801",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-04T00:15:43Z",
    "title_canon_sha256": "54402871fbdd675d516b76ab2de7a2420d150197ff6ffa7d5797156c925f1acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00861",
    "kind": "arxiv",
    "version": 2
  }
}