Pith Number

pith:7JPPWS7P

pith:2017:7JPPWS7PPGTZBYWEDVL5YRU5XL

not attested not anchored not stored refs pending

A quantitative inverse theorem for the $U^4$ norm over finite fields

Luka Mili\'cevi\'c, W. T. Gowers

arxiv:1712.00241 v1 · 2017-12-01 · 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{7JPPWS7PPGTZBYWEDVL5YRU5XL}

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.

Cited by

2 papers in Pith

A note on transverse sets and bilinear varieties

The Jamneshan-Tao conjecture for finite abelian groups of bounded rank

Receipt and verification

First computed	2026-05-18T00:29:06.816017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5efb4bef79a790e2c41d57dc469dbac1232270121b68c770be09fd373eadc3

Aliases

arxiv: 1712.00241 · arxiv_version: 1712.00241v1 · doi: 10.48550/arxiv.1712.00241 · pith_short_12: 7JPPWS7PPGTZ · pith_short_16: 7JPPWS7PPGTZBYWE · pith_short_8: 7JPPWS7P

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/7JPPWS7PPGTZBYWEDVL5YRU5XL \
  | 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: fa5efb4bef79a790e2c41d57dc469dbac1232270121b68c770be09fd373eadc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92a467c80c14945671bc54e83350b32a3593c806230a5a228416516a50206580",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-01T09:13:12Z",
    "title_canon_sha256": "d78b8c16a4849f16196491810f21f4ee41902bfb4a752cef3802fadf0221a77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00241",
    "kind": "arxiv",
    "version": 1
  }
}