Pith Number

pith:E4PB4G75

pith:2017:E4PB4G75CIHVSS2EFUKNS2OSCI

not attested not anchored not stored refs pending

A new proof of Hal\'asz's Theorem, and its consequences

Adam J Harper, Andrew Granville, K. Soundararajan

arxiv:1706.03749 v1 · 2017-06-12 · math.NT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4PB4G75CIHVSS2EFUKNS2OSCI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:53:12.736435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271e1e1bfd120f594b442d14d969d212145dc204bfe7b039be966beeeeb2064c

Aliases

arxiv: 1706.03749 · arxiv_version: 1706.03749v1 · doi: 10.48550/arxiv.1706.03749 · pith_short_12: E4PB4G75CIHV · pith_short_16: E4PB4G75CIHVSS2E · pith_short_8: E4PB4G75

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/E4PB4G75CIHVSS2EFUKNS2OSCI \
  | 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: 271e1e1bfd120f594b442d14d969d212145dc204bfe7b039be966beeeeb2064c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1821f4186f7abf0527d3b5172505b62dbb8175b30fa3e2def941d850f42e763",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-12T17:36:26Z",
    "title_canon_sha256": "2711067c406be8a99b08e92b2f9483d7d4b21da7714c5a78723e6716d1b2bc1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03749",
    "kind": "arxiv",
    "version": 1
  }
}