Pith Number

pith:R7MPQVGD

pith:2024:R7MPQVGDGNTTDT7EEG65H3XK3J

not attested not anchored not stored refs pending

Sharp estimates for Gowers norms on discrete cubes

Adrian Beker, Ton\'ci Crmari\'c, Vjekoslav Kova\v{c}

arxiv:2409.12579 v2 · 2024-09-19 · math.CO · cs.IT · math.CA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7MPQVGDGNTTDT7EEG65H3XK3J}

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	2026-07-05T11:23:07.262370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fd8f854c3336731cfe421bdd3eeeada52e2e228064f69ce1e43b79594362d86

Aliases

arxiv: 2409.12579 · arxiv_version: 2409.12579v2 · doi: 10.48550/arxiv.2409.12579 · pith_short_12: R7MPQVGDGNTT · pith_short_16: R7MPQVGDGNTTDT7E · pith_short_8: R7MPQVGD

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/R7MPQVGDGNTTDT7EEG65H3XK3J \
  | 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: 8fd8f854c3336731cfe421bdd3eeeada52e2e228064f69ce1e43b79594362d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d27aef16002ef2f84692c7822e9aa972960eea41b32b4db052f1f99ac4b026",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-19T09:00:20Z",
    "title_canon_sha256": "2c03457337eb26698c1a6b780dc59ad6c5e052dce04e15904c77d538b71c6398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.12579",
    "kind": "arxiv",
    "version": 2
  }
}