Pith Number

pith:PZL2UPBX

pith:2017:PZL2UPBX63PEA5YHHJBLBPAFFP

not attested not anchored not stored refs pending

A polynomial bound for the arithmetic $k$-cycle removal lemma in vector spaces

Jacob Fox, L\'aszl\'o Mikl\'os Lov\'asz, Lisa Sauermann

arxiv:1709.04440 v3 · 2017-09-13 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZL2UPBX63PEA5YHHJBLBPAFFP}

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	2026-05-18T00:06:41.488379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e57aa3c37f6de4077073a42b0bc052bd132d11074e5ae67290fb4f4ef3a9a52

Aliases

arxiv: 1709.04440 · arxiv_version: 1709.04440v3 · doi: 10.48550/arxiv.1709.04440 · pith_short_12: PZL2UPBX63PE · pith_short_16: PZL2UPBX63PEA5YH · pith_short_8: PZL2UPBX

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/PZL2UPBX63PEA5YHHJBLBPAFFP \
  | 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: 7e57aa3c37f6de4077073a42b0bc052bd132d11074e5ae67290fb4f4ef3a9a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9fd3d69bcf9eaee48d04a49d439a0d4fb4754699977f4b7c0d00d163bdd2baa",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-13T17:35:19Z",
    "title_canon_sha256": "1236eb463f01de687ae32732375230501589a21c280c1e411c5c4649f278f1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04440",
    "kind": "arxiv",
    "version": 3
  }
}