Pith Number

pith:34LLNM7W

pith:2014:34LLNM7WTWVPN2CNST2QJCR6FS

not attested not anchored not stored refs pending

On the first sign change of $\theta(x) - x$

Dave Platt, Tim Trudgian

arxiv:1407.1914 v1 · 2014-07-08 · 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{34LLNM7WTWVPN2CNST2QJCR6FS}

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	2026-05-18T02:48:08.912937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df16b6b3f69daaf6e84d94f5048a3e2c979cceb81325f2cc19d8dbd6f04f4553

Aliases

arxiv: 1407.1914 · arxiv_version: 1407.1914v1 · doi: 10.48550/arxiv.1407.1914 · pith_short_12: 34LLNM7WTWVP · pith_short_16: 34LLNM7WTWVPN2CN · pith_short_8: 34LLNM7W

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/34LLNM7WTWVPN2CNST2QJCR6FS \
  | 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: df16b6b3f69daaf6e84d94f5048a3e2c979cceb81325f2cc19d8dbd6f04f4553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1131b070dc87ff9b16789612c6b18bc395ce2288ee5d543ad04844b4196f25f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-08T00:32:05Z",
    "title_canon_sha256": "e0a5e367ee165264fee98f941a29868c4ea62b365dd6b440cdb3656816ab5c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1914",
    "kind": "arxiv",
    "version": 1
  }
}