Pith Number

pith:BOBWS37T

pith:2014:BOBWS37TTZ7ZP3XHK3KWZQCCW5

not attested not anchored not stored refs pending

On the sums of any k points in finite fields

David Covert, Doowon Koh, Youngjin Pi

arxiv:1403.6138 v2 · 2014-03-24 · math.CO · math.CA · 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{BOBWS37TTZ7ZP3XHK3KWZQCCW5}

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	2026-05-18T02:27:57.195623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b83696ff39e7f97eee756d56cc042b769f476e9d6b81d4eea18993c18465e36

Aliases

arxiv: 1403.6138 · arxiv_version: 1403.6138v2 · doi: 10.48550/arxiv.1403.6138 · pith_short_12: BOBWS37TTZ7Z · pith_short_16: BOBWS37TTZ7ZP3XH · pith_short_8: BOBWS37T

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/BOBWS37TTZ7ZP3XHK3KWZQCCW5 \
  | 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: 0b83696ff39e7f97eee756d56cc042b769f476e9d6b81d4eea18993c18465e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "390ce179b4849f3c53f93e86edf340657120e035e2fe6bea93bc011d86dedb8d",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-24T20:22:33Z",
    "title_canon_sha256": "a06994d83f5df2d65ee1a2d78a6b18a3c63c05d8d9a95b41413f5aaf519bdb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6138",
    "kind": "arxiv",
    "version": 2
  }
}