Pith Number

pith:UZWTWVLM

pith:2018:UZWTWVLM2JJG37YUMQXZVRMMZF

not attested not anchored not stored refs pending

Zero-sum Analogues of van der Waerden's Theorem on Arithmetic Progressions

Aaron Robertson

arxiv:1802.03387 v1 · 2018-02-09 · 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{UZWTWVLM2JJG37YUMQXZVRMMZF}

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	2026-05-18T00:23:57.758823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66d3b556cd2526dff14642f9ac58cc979086ce8942d09300e8078afe9af6512

Aliases

arxiv: 1802.03387 · arxiv_version: 1802.03387v1 · doi: 10.48550/arxiv.1802.03387 · pith_short_12: UZWTWVLM2JJG · pith_short_16: UZWTWVLM2JJG37YU · pith_short_8: UZWTWVLM

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/UZWTWVLM2JJG37YUMQXZVRMMZF \
  | 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: a66d3b556cd2526dff14642f9ac58cc979086ce8942d09300e8078afe9af6512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f107b9382513f30ad05e1fe0cb4b2d329a1463191a8679e7bb4701a11b0954a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-09T18:50:03Z",
    "title_canon_sha256": "e4e47f78bf04b16526f144f65d1e58c970d0ee9f0eca0b8e60c3d76de02eb733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03387",
    "kind": "arxiv",
    "version": 1
  }
}