Pith Number

pith:7RFMGZZC

pith:2012:7RFMGZZCJCBPLLGIS7GCIMCSPX

not attested not anchored not stored refs pending

Maps preserving zeros of a polynomial

A. R. Villena, J. Alaminos, M. Bre\v{s}ar, \v{S}. \v{S}penko

arxiv:1204.5215 v1 · 2012-04-23 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RFMGZZCJCBPLLGIS7GCIMCSPX}

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	2026-05-18T03:57:13.746840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4ac367224882f5acc897cc2430527dc24e7eeae3b7e633b838f7de3581bd39

Aliases

arxiv: 1204.5215 · arxiv_version: 1204.5215v1 · doi: 10.48550/arxiv.1204.5215 · pith_short_12: 7RFMGZZCJCBP · pith_short_16: 7RFMGZZCJCBPLLGI · pith_short_8: 7RFMGZZC

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/7RFMGZZCJCBPLLGIS7GCIMCSPX \
  | 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: fc4ac367224882f5acc897cc2430527dc24e7eeae3b7e633b838f7de3581bd39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c9cd28278249d393e045f855c7a252297b6f67f5d9161a0c84f4210b0f1ab5e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-04-23T21:40:51Z",
    "title_canon_sha256": "0bf2ca5499386cc0804bde844049dc910d72ce2dc02ce012b1d7dc0ca535f0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5215",
    "kind": "arxiv",
    "version": 1
  }
}