Pith Number

pith:KDMZGDAM

pith:2012:KDMZGDAMVMNWRDSV7O7X23AXQG

not attested not anchored not stored refs pending

Chebyshev Estimates for Beurling Generalized Prime Numbers. I

Jasson Vindas

arxiv:1201.1405 v2 · 2012-01-06 · 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{KDMZGDAMVMNWRDSV7O7X23AXQG}

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	2026-05-18T03:26:42.916352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50d9930c0cab1b688e55fbbf7d6c1781b510389744d10056b639a30af968aaa5

Aliases

arxiv: 1201.1405 · arxiv_version: 1201.1405v2 · doi: 10.48550/arxiv.1201.1405 · pith_short_12: KDMZGDAMVMNW · pith_short_16: KDMZGDAMVMNWRDSV · pith_short_8: KDMZGDAM

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/KDMZGDAMVMNWRDSV7O7X23AXQG \
  | 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: 50d9930c0cab1b688e55fbbf7d6c1781b510389744d10056b639a30af968aaa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f478188844db786068e426110708e2ed44c8930337fe6063a9b58940e863635",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-06T12:50:21Z",
    "title_canon_sha256": "761684c067d40089c1b1f03c67f604af076e6a96d88bcd060b65ea504de0c130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1405",
    "kind": "arxiv",
    "version": 2
  }
}