Pith Number

pith:D7B5YQMN

pith:2011:D7B5YQMNXS6GL7LSEH5RTSAWAG

not attested not anchored not stored refs pending

A Variational Barban-Davenport-Halberstam Theorem

Allison Lewko, Mark Lewko

arxiv:1111.6190 v2 · 2011-11-26 · 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{D7B5YQMNXS6GL7LSEH5RTSAWAG}

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	2026-05-18T04:03:06.400956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc3dc418dbcbc65fd7221fb19c81601adaf6282cd7bb91462434cde3d620c3e

Aliases

arxiv: 1111.6190 · arxiv_version: 1111.6190v2 · doi: 10.48550/arxiv.1111.6190 · pith_short_12: D7B5YQMNXS6G · pith_short_16: D7B5YQMNXS6GL7LS · pith_short_8: D7B5YQMN

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/D7B5YQMNXS6GL7LSEH5RTSAWAG \
  | 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: 1fc3dc418dbcbc65fd7221fb19c81601adaf6282cd7bb91462434cde3d620c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6285b2e09d9967ec2193a253d0e66b68ac9f5af7a8a5c4deb42f0d14849379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-26T19:47:22Z",
    "title_canon_sha256": "685b448290fd1e3918c2d7e9cabf4af4768777cb237fdad5236206a767edbe02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6190",
    "kind": "arxiv",
    "version": 2
  }
}