Pith Number

pith:LW5MJ6Z7

pith:2009:LW5MJ6Z7B6TOSMUZDUBCKNU2ZE

not attested not anchored not stored refs pending

An inverse theorem for the uniformity seminorms associated with the action of $F^\omega$

Tamar Ziegler, Terence Tao, Vitaly Bergelson

arxiv:0901.2602 v2 · 2009-01-17 · math.DS · 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{LW5MJ6Z7B6TOSMUZDUBCKNU2ZE}

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	2026-05-18T04:05:28.146755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbac4fb3f0fa6e932991d0225369ac930f5af1503bc090bedb170b9cd349357

Aliases

arxiv: 0901.2602 · arxiv_version: 0901.2602v2 · doi: 10.48550/arxiv.0901.2602 · pith_short_12: LW5MJ6Z7B6TO · pith_short_16: LW5MJ6Z7B6TOSMUZ · pith_short_8: LW5MJ6Z7

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/LW5MJ6Z7B6TOSMUZDUBCKNU2ZE \
  | 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: 5dbac4fb3f0fa6e932991d0225369ac930f5af1503bc090bedb170b9cd349357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe254ada57fb74c03d7c762b3ad44e5bcbae3b0deafcd2f3f38fdf14543d6f5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-01-17T01:11:01Z",
    "title_canon_sha256": "deafdad9643c3d3b29ad0a395ca2a039e146d88511435b3f2226fc915ad28548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2602",
    "kind": "arxiv",
    "version": 2
  }
}