Pith Number

pith:SUWDLDM5

pith:2025:SUWDLDM55IELWLMH5ZWGPRQMZZ

not attested not anchored not stored refs pending

New exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach

Andrew Yang, Terence Tao, Tim Trudgian

arxiv:2501.16779 v1 · 2025-01-28 · 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{SUWDLDM55IELWLMH5ZWGPRQMZZ}

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

Pair correlation of $\alpha n^{\theta}$ for random $\theta$

Receipt and verification

First computed	2026-07-05T10:06:18.406202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

952c358d9dea08bb2d87ee6c67c60cce5edb76ebbfa5b934e3808d1c10cc2f26

Aliases

arxiv: 2501.16779 · arxiv_version: 2501.16779v1 · doi: 10.48550/arxiv.2501.16779 · pith_short_12: SUWDLDM55IEL · pith_short_16: SUWDLDM55IELWLMH · pith_short_8: SUWDLDM5

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/SUWDLDM55IELWLMH5ZWGPRQMZZ \
  | 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: 952c358d9dea08bb2d87ee6c67c60cce5edb76ebbfa5b934e3808d1c10cc2f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a541e74d0bc201a14ebbdd07cace75c0cb4e9e76252e9528983be440170f3b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-28T08:03:12Z",
    "title_canon_sha256": "706b03e264ba8632d9822cf312c9f419a9640f6d70f3796222180fe1eb20dc10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16779",
    "kind": "arxiv",
    "version": 1
  }
}