Pith Number

pith:QBR7OURY

pith:2023:QBR7OURYW2PLXXDMUAAXSKAE76

not attested not anchored not stored refs pending

On the proof of the Prime Number Theorem using Order Estimates for the Chebyshev Theta Function

Subham De

arxiv:2308.07245 v1 · 2023-08-14 · math.HO · 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{QBR7OURYW2PLXXDMUAAXSKAE76}

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	2026-07-05T07:20:39.967933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8063f75238b69ebbdc6ca001792804ff87793a2cd8ee6fba4613c4e3b2dde432

Aliases

arxiv: 2308.07245 · arxiv_version: 2308.07245v1 · doi: 10.48550/arxiv.2308.07245 · pith_short_12: QBR7OURYW2PL · pith_short_16: QBR7OURYW2PLXXDM · pith_short_8: QBR7OURY

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/QBR7OURYW2PLXXDMUAAXSKAE76 \
  | 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: 8063f75238b69ebbdc6ca001792804ff87793a2cd8ee6fba4613c4e3b2dde432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af8f6d0d8246c69e0a4f7e877fc30f1476ff3ace28f0a71068e099b1cdc0f75c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2023-08-14T16:27:47Z",
    "title_canon_sha256": "f055581fe72bebba330564fb1b52b33bb5d02ca81697e0ee846aae5f4a6e3e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07245",
    "kind": "arxiv",
    "version": 1
  }
}