Pith Number

pith:2BYMYE3R

pith:2014:2BYMYE3R3QPQ7AKED7EIQFJJZC

not attested not anchored not stored refs pending

Strong orthogonality between the Mobius function and nonlinear exponential functions in short intervals

Bingrong Huang

arxiv:1412.2237 v2 · 2014-12-06 · 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{2BYMYE3R3QPQ7AKED7EIQFJJZC}

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	2026-05-18T02:20:03.058587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d070cc1371dc1f0f81441fc8881529c885afe5360a7dd821b50a782e6d78db0f

Aliases

arxiv: 1412.2237 · arxiv_version: 1412.2237v2 · doi: 10.48550/arxiv.1412.2237 · pith_short_12: 2BYMYE3R3QPQ · pith_short_16: 2BYMYE3R3QPQ7AKE · pith_short_8: 2BYMYE3R

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/2BYMYE3R3QPQ7AKED7EIQFJJZC \
  | 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: d070cc1371dc1f0f81441fc8881529c885afe5360a7dd821b50a782e6d78db0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d2f0461d3adcc5a6f150f71085ff442d5ccc26f91425148a9301d7e624eecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-06T13:51:11Z",
    "title_canon_sha256": "a9c76483dc5dc98c590699b779adcf1ffed6918aa97e4665cbdbd3441d5138c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2237",
    "kind": "arxiv",
    "version": 2
  }
}