Pith Number

pith:OJH3VWLW

pith:2014:OJH3VWLW22TKTP7G2C7NPI2IZI

not attested not anchored not stored refs pending

Updating the error term in the prime number theorem

Tim Trudgian

arxiv:1401.2689 v2 · 2014-01-13 · 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{OJH3VWLW22TKTP7G2C7NPI2IZI}

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	2026-05-18T02:39:55.653708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724fbad976d6a6a9bfe6d0bed7a348ca3d7a58c7fb86c661540de18d05b2a0b7

Aliases

arxiv: 1401.2689 · arxiv_version: 1401.2689v2 · doi: 10.48550/arxiv.1401.2689 · pith_short_12: OJH3VWLW22TK · pith_short_16: OJH3VWLW22TKTP7G · pith_short_8: OJH3VWLW

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/OJH3VWLW22TKTP7G2C7NPI2IZI \
  | 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: 724fbad976d6a6a9bfe6d0bed7a348ca3d7a58c7fb86c661540de18d05b2a0b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b1a6c52f5fd5a9120116fee8304263e10c6a9fa3d6e3aca5439a9522db93ca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-13T00:47:15Z",
    "title_canon_sha256": "9b755cada97fabe4b9c07a31e4d6ce45386d8406555a468abb46a62de4e5bf41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2689",
    "kind": "arxiv",
    "version": 2
  }
}