Pith Number

pith:BREZFBRH

pith:2007:BREZFBRHXEKJ2F5VNXWZE7PINO

not attested not anchored not stored refs pending

On value sets of polynomials over a field

Zhi-Wei Sun

arxiv:math/0703180 v3 · 2007-03-07 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BREZFBRHXEKJ2F5VNXWZE7PINO}

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	2026-07-04T15:10:34.046118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c49928627b9149d17b56ded927de86b85b268d0c0b920a5f1b75c5ffad0b3a2

Aliases

arxiv: math/0703180 · arxiv_version: math/0703180v3 · doi: 10.48550/arxiv.math/0703180 · pith_short_12: BREZFBRHXEKJ · pith_short_16: BREZFBRHXEKJ2F5V · pith_short_8: BREZFBRH

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/BREZFBRHXEKJ2F5VNXWZE7PINO \
  | 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: 0c49928627b9149d17b56ded927de86b85b268d0c0b920a5f1b75c5ffad0b3a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc04f116e623d245f032ea386275292fcede93d6da58b6f820cb22157febeda2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-03-07T17:26:21Z",
    "title_canon_sha256": "6dd72628d2059b62edff894961f83f164e58cd72d4830c201ebaf30b6519acb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703180",
    "kind": "arxiv",
    "version": 3
  }
}