Pith Number

pith:VKQN7TYG

pith:2016:VKQN7TYGARXOLMTP652TYDJGIB

not attested not anchored not stored refs pending

An Analogue of the Erd\H{o}s-Ginzburg-Ziv Theorem over $\mathbb Z$

Aaron Berger

arxiv:1608.04125 v3 · 2016-08-14 · math.NT · 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{VKQN7TYGARXOLMTP652TYDJGIB}

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	2026-05-18T00:07:28.564417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa0dfcf06046ee5b26ff7753c0d264060198ebf9c660666d77ee755c60819e6

Aliases

arxiv: 1608.04125 · arxiv_version: 1608.04125v3 · doi: 10.48550/arxiv.1608.04125 · pith_short_12: VKQN7TYGARXO · pith_short_16: VKQN7TYGARXOLMTP · pith_short_8: VKQN7TYG

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/VKQN7TYGARXOLMTP652TYDJGIB \
  | 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: aaa0dfcf06046ee5b26ff7753c0d264060198ebf9c660666d77ee755c60819e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0d17c6ba166174a147c04587e24890763ce799dca130ec2fba547d74cfd1bc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-14T19:13:06Z",
    "title_canon_sha256": "a32f6de34a5c38c8948729f32d8ddf84999b3cf4ac3e17617cd55cfe552ad9fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04125",
    "kind": "arxiv",
    "version": 3
  }
}