Pith Number

pith:RULCDEQW

pith:2013:RULCDEQWXOHVIUR4DUVDX2XL6Z

not attested not anchored not stored refs pending

Sharper estimates for Chebyshev's functions $\vartheta$ and $\psi$

Sadegh Nazardonyavi, Semyon Yakubovich

arxiv:1302.7208 v1 · 2013-02-23 · 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{RULCDEQWXOHVIUR4DUVDX2XL6Z}

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	2026-05-18T03:32:16.402338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d16219216bb8f54523c1d2a3beaebf66d40347d5127d40147bd5d0b2f0d3ef6

Aliases

arxiv: 1302.7208 · arxiv_version: 1302.7208v1 · doi: 10.48550/arxiv.1302.7208 · pith_short_12: RULCDEQWXOHV · pith_short_16: RULCDEQWXOHVIUR4 · pith_short_8: RULCDEQW

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/RULCDEQWXOHVIUR4DUVDX2XL6Z \
  | 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: 8d16219216bb8f54523c1d2a3beaebf66d40347d5127d40147bd5d0b2f0d3ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfeee6f7a99588a167ce0b4e6afcc8818174fe7ea5ffd9ce724343b1c17313ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-23T21:49:38Z",
    "title_canon_sha256": "49be52e261d47d3bbb3f09560ccc67648ac071c27669d692d0661a5265fbdc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7208",
    "kind": "arxiv",
    "version": 1
  }
}