Pith Number

pith:2RSGT4Y6

pith:2016:2RSGT4Y6PGFVMOIPORLP4SFEOS

not attested not anchored not stored refs pending

Three-variable expanding polynomials and higher-dimensional distinct distances

Frank de Zeeuw, Le Anh Vinh, Thang Pham

arxiv:1612.09032 v3 · 2016-12-29 · math.CO · 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{2RSGT4Y6PGFVMOIPORLP4SFEOS}

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	2026-05-18T00:50:03.921570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46469f31e798b56390f7456fe48a474ad0d64e6bf64fd7715cb6b39a37b7f32

Aliases

arxiv: 1612.09032 · arxiv_version: 1612.09032v3 · doi: 10.48550/arxiv.1612.09032 · pith_short_12: 2RSGT4Y6PGFV · pith_short_16: 2RSGT4Y6PGFVMOIP · pith_short_8: 2RSGT4Y6

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/2RSGT4Y6PGFVMOIPORLP4SFEOS \
  | 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: d46469f31e798b56390f7456fe48a474ad0d64e6bf64fd7715cb6b39a37b7f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9299728eb016c514b2425f8c64cc601e341a5e6404d520cfef3eaf7536c3750b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-29T04:13:59Z",
    "title_canon_sha256": "c4babe975a05c50f7a533441c7e04bf7fec22f3ec1fab4167bde63eb4e688785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09032",
    "kind": "arxiv",
    "version": 3
  }
}