Pith Number

pith:33K44V3F

pith:2012:33K44V3FZEX6HUUKLKR5P7I2UU

not attested not anchored not stored refs pending

On zeros of self-reciprocal polynomials

Masatoshi Suzuki

arxiv:1211.2953 v2 · 2012-11-13 · math.CA · math.FA · 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{33K44V3FZEX6HUUKLKR5P7I2UU}

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	2026-05-18T03:38:22.970985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded5ce5765c92fe3d28a5aa3d7fd1aa5050e0947075a03b28923a1e722efab18

Aliases

arxiv: 1211.2953 · arxiv_version: 1211.2953v2 · doi: 10.48550/arxiv.1211.2953 · pith_short_12: 33K44V3FZEX6 · pith_short_16: 33K44V3FZEX6HUUK · pith_short_8: 33K44V3F

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/33K44V3FZEX6HUUKLKR5P7I2UU \
  | 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: ded5ce5765c92fe3d28a5aa3d7fd1aa5050e0947075a03b28923a1e722efab18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd50ab0b71aecfe660a58a5fb5385dd5b18f21e2131f640eed4e3b0fc2a092ea",
    "cross_cats_sorted": [
      "math.FA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-13T11:15:34Z",
    "title_canon_sha256": "883b1cdd4ffc8c2b0a66d8b08e0f5ba29506fa03923313fdcce486be4bf17bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2953",
    "kind": "arxiv",
    "version": 2
  }
}