Pith Number

pith:H7F7YOPY

pith:2018:H7F7YOPY3AFE7Q2WGYL2QOE5KM

not attested not anchored not stored refs pending

Modified Erd\"os--Ginzburg--Ziv Constants for $\mathbb Z/n\mathbb Z$ and $(\mathbb Z/n\mathbb Z)^2$

Aaron Berger, Danielle Wang

arxiv:1808.08486 v1 · 2018-08-26 · 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{H7F7YOPY3AFE7Q2WGYL2QOE5KM}

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	2026-05-18T00:07:16.356691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fcbfc39f8d80a4fc3563617a8389d53316e87d86468851c4c7638545439d4bd

Aliases

arxiv: 1808.08486 · arxiv_version: 1808.08486v1 · doi: 10.48550/arxiv.1808.08486 · pith_short_12: H7F7YOPY3AFE · pith_short_16: H7F7YOPY3AFE7Q2W · pith_short_8: H7F7YOPY

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/H7F7YOPY3AFE7Q2WGYL2QOE5KM \
  | 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: 3fcbfc39f8d80a4fc3563617a8389d53316e87d86468851c4c7638545439d4bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725112b317038219ff3dc7e73462bd6c8d5eddcb077d9e0a51bd871dbf034a39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-26T00:21:58Z",
    "title_canon_sha256": "200267ab421fbc93c16c3f2a1179f2678714ea5ad5e3e4f481418c5a1025856b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08486",
    "kind": "arxiv",
    "version": 1
  }
}