Pith Number

pith:GUA7LG7M

pith:2011:GUA7LG7MYPBKMHBQSJ6GMXZNSP

not attested not anchored not stored refs pending

On Weyl sums over primes in short intervals

Angel V. Kumchev

arxiv:1112.0201 v1 · 2011-12-01 · 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{GUA7LG7MYPBKMHBQSJ6GMXZNSP}

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	2026-05-18T04:07:16.588383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3501f59becc3c2a61c30927c665f2d93d5756c5c542b1d98887741fb176efe27

Aliases

arxiv: 1112.0201 · arxiv_version: 1112.0201v1 · doi: 10.48550/arxiv.1112.0201 · pith_short_12: GUA7LG7MYPBK · pith_short_16: GUA7LG7MYPBKMHBQ · pith_short_8: GUA7LG7M

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/GUA7LG7MYPBKMHBQSJ6GMXZNSP \
  | 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: 3501f59becc3c2a61c30927c665f2d93d5756c5c542b1d98887741fb176efe27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc23bee941e92ea6537e201c16a4c5d5d18ba16864201d9e6e6a38ca9386d9e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-01T15:03:05Z",
    "title_canon_sha256": "e94180d6c8dff5327f41f28860e717e3e98d8f2c3c282dbb44ba4fa3e1e2d6d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0201",
    "kind": "arxiv",
    "version": 1
  }
}