Pith Number

pith:C3KBKABC

pith:2010:C3KBKABCXVUG2WT2MAPHX2JILW

not attested not anchored not stored refs pending

On Weyl sums for smaller exponents

Kent D. Boklan, Trevor D. Wooley

arxiv:1011.3426 v1 · 2010-11-15 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3KBKABCXVUG2WT2MAPHX2JILW}

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	2026-05-18T01:37:29.116677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d4150022bd686d5a7a601e7be9285da294d2c253c5c233aad83a030c34bc6e

Aliases

arxiv: 1011.3426 · arxiv_version: 1011.3426v1 · doi: 10.48550/arxiv.1011.3426 · pith_short_12: C3KBKABCXVUG · pith_short_16: C3KBKABCXVUG2WT2 · pith_short_8: C3KBKABC

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/C3KBKABCXVUG2WT2MAPHX2JILW \
  | 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: 16d4150022bd686d5a7a601e7be9285da294d2c253c5c233aad83a030c34bc6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1b00ef9edb74ae1ceead99df0c106c2b030f69a0c8f01349c23530d27009b3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-15T15:42:10Z",
    "title_canon_sha256": "27233d6b1347c33daffa35f7a5ab0ccbd9621b74a693d2e5c478101730ba9023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3426",
    "kind": "arxiv",
    "version": 1
  }
}