Pith Number

pith:U7NRK35R

pith:2024:U7NRK35R77V3UGNG7ZZOKXLUNC

not attested not anchored not stored refs pending

Marton's Conjecture in abelian groups with bounded torsion

Ben Green, Freddie Manners, Terence Tao, W. T. Gowers

arxiv:2404.02244 v2 · 2024-04-02 · math.NT · 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{U7NRK35R77V3UGNG7ZZOKXLUNC}

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

The Technological Turn in Mathematics

Entropy lower bounds and sum-product phenomena

Receipt and verification

First computed	2026-07-05T08:21:15.049694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7db156fb1ffebba19a6fe72e55d7468abc9c6f32bb6f8ad97982ae3156b476e

Aliases

arxiv: 2404.02244 · arxiv_version: 2404.02244v2 · doi: 10.48550/arxiv.2404.02244 · pith_short_12: U7NRK35R77V3 · pith_short_16: U7NRK35R77V3UGNG · pith_short_8: U7NRK35R

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/U7NRK35R77V3UGNG7ZZOKXLUNC \
  | 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: a7db156fb1ffebba19a6fe72e55d7468abc9c6f32bb6f8ad97982ae3156b476e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6de660846561d0a74f07ea6354b1c96a89cf77dab07cc1b6c9212131fc4cb49",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-04-02T19:03:51Z",
    "title_canon_sha256": "05292f9576069bf8de731aff316b51c4e9bee971612cce9f29016b929cb18c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.02244",
    "kind": "arxiv",
    "version": 2
  }
}