Pith Number

pith:DIV3FUXY

pith:2023:DIV3FUXYS5L3FO4WOH64YCV3TJ

not attested not anchored not stored refs pending

The convergence of an alternating series of Erd\H{o}s, assuming the Hardy--Littlewood prime tuples conjecture

Terence Tao

arxiv:2308.07205 v3 · 2023-08-14 · 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{DIV3FUXYS5L3FO4WOH64YCV3TJ}

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

Holder continuity of an alternating Erdos series on prime K-tuples

Receipt and verification

First computed	2026-07-05T06:43:51.567502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a2bb2d2f89757b2bb9671fdcc0abb9a69a4873a268a5b8f5633c451939d04e9

Aliases

arxiv: 2308.07205 · arxiv_version: 2308.07205v3 · doi: 10.48550/arxiv.2308.07205 · pith_short_12: DIV3FUXYS5L3 · pith_short_16: DIV3FUXYS5L3FO4W · pith_short_8: DIV3FUXY

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/DIV3FUXYS5L3FO4WOH64YCV3TJ \
  | 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: 1a2bb2d2f89757b2bb9671fdcc0abb9a69a4873a268a5b8f5633c451939d04e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee7cc509f2ab0529a841c928e6e89f790137474c6efccd838f3d6c30439e210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-08-14T15:20:04Z",
    "title_canon_sha256": "24b47ee28e9b35db8eab2774d1772fdf50fd34b9c0e15a0c5eb0813ff7df8a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07205",
    "kind": "arxiv",
    "version": 3
  }
}