Pith Number

pith:5WP5TITN

pith:2011:5WP5TITNU74RTZWJOFN6UFS4QR

not attested not anchored not stored refs pending

Chebyshev's bias and generalized Riemann hypothesis

Adel Alamadhi (MECAA), Michel Planat (FEMTO-ST), Patrick Sol\'e (MECAA)

arxiv:1112.2398 v1 · 2011-12-11 · 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{5WP5TITNU74RTZWJOFN6UFS4QR}

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.

Cited by

1 paper in Pith

Holder continuity of an alternating Erdos series on prime K-tuples

Receipt and verification

First computed	2026-05-18T03:30:28.190704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed9fd9a26da7f919e6c9715bea165c845daf115226bd20954a16f79c361f63da

Aliases

arxiv: 1112.2398 · arxiv_version: 1112.2398v1 · doi: 10.48550/arxiv.1112.2398 · pith_short_12: 5WP5TITNU74R · pith_short_16: 5WP5TITNU74RTZWJ · pith_short_8: 5WP5TITN

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/5WP5TITNU74RTZWJOFN6UFS4QR \
  | 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: ed9fd9a26da7f919e6c9715bea165c845daf115226bd20954a16f79c361f63da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f14f99ec1a027cbafc38687fdc5a173ff051113d4fee538efef4126b6b08727",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-11T20:32:39Z",
    "title_canon_sha256": "cbe704c619e44abbd8d597d043146526b3cfe1c69f1ab7a5b8e99ec492a1a017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2398",
    "kind": "arxiv",
    "version": 1
  }
}