Pith Number

pith:3O6JZ7TY

pith:2019:3O6JZ7TY4VLJXKY7XXWXJIFHJ5

not attested not anchored not stored refs pending

Sum-Product Type Estimates over Finite Fields

Esen Aksoy Yazici

arxiv:1903.07876 v2 · 2019-03-19 · 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{3O6JZ7TY4VLJXKY7XXWXJIFHJ5}

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	2026-05-17T23:50:40.498813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbbc9cfe78e5569bab1fbded74a0a74f531c8684fed0d9665c115729c85e4eaa

Aliases

arxiv: 1903.07876 · arxiv_version: 1903.07876v2 · doi: 10.48550/arxiv.1903.07876 · pith_short_12: 3O6JZ7TY4VLJ · pith_short_16: 3O6JZ7TY4VLJXKY7 · pith_short_8: 3O6JZ7TY

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/3O6JZ7TY4VLJXKY7XXWXJIFHJ5 \
  | 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: dbbc9cfe78e5569bab1fbded74a0a74f531c8684fed0d9665c115729c85e4eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a341cbc523ddcaf340df22a374babeeb90fdf574fc4231dbe928ce79fac97433",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-19T08:22:45Z",
    "title_canon_sha256": "8d806f8af736d3304aa0c0fd799c168b06be78df911a138b80fe41c621d2841e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07876",
    "kind": "arxiv",
    "version": 2
  }
}