Pith Number

pith:R664DNC2

pith:2025:R664DNC2S3CWESJ7HPTARPYUQS

not attested not anchored not stored refs pending

Large value estimates in number theory, harmonic analysis, and computer science

Larry Guth

arxiv:2503.07410 v1 · 2025-03-10 · 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{R664DNC2S3CWESJ7HPTARPYUQS}

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

1 paper in Pith

Discrete analogues in harmonic analysis: $TT^*$ methods

Receipt and verification

First computed	2026-07-05T10:27:55.451958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fbdc1b45a96c562493f3be608bf14849f66d767a9b4028c33a749544d207f45

Aliases

arxiv: 2503.07410 · arxiv_version: 2503.07410v1 · doi: 10.48550/arxiv.2503.07410 · pith_short_12: R664DNC2S3CW · pith_short_16: R664DNC2S3CWESJ7 · pith_short_8: R664DNC2

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/R664DNC2S3CWESJ7HPTARPYUQS \
  | 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: 8fbdc1b45a96c562493f3be608bf14849f66d767a9b4028c33a749544d207f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79dc9965a3613f029669da9eda4eda563539ab0cf18c0bd80fc502f4b8bdc2a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-10T14:58:12Z",
    "title_canon_sha256": "41d82543b1e05ac5339b9acb826581a4a9e3c6725ae69eb6225ce58fec6ed356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07410",
    "kind": "arxiv",
    "version": 1
  }
}