Pith Number

pith:PN7TSXFI

pith:2011:PN7TSXFIUVSJ633JEBAFNM7GTE

not attested not anchored not stored refs pending

The Discrete Markus-Yamabe Problem for Symmetric Planar Polynomial Maps

Bego\~na Alarc\'on, Isabel S. Labouriau, Sofia B. S. D. Castro

arxiv:1110.2710 v2 · 2011-10-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PN7TSXFIUVSJ633JEBAFNM7GTE}

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	2026-05-18T00:55:34.701301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b7f395ca8a5649f6f69204056b3e699150c1ad20492d2470d3deb269a17324b

Aliases

arxiv: 1110.2710 · arxiv_version: 1110.2710v2 · doi: 10.48550/arxiv.1110.2710 · pith_short_12: PN7TSXFIUVSJ · pith_short_16: PN7TSXFIUVSJ633J · pith_short_8: PN7TSXFI

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/PN7TSXFIUVSJ633JEBAFNM7GTE \
  | 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: 7b7f395ca8a5649f6f69204056b3e699150c1ad20492d2470d3deb269a17324b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2990804fd789b73bb4596ccc2cc29ab5771008e600c0969d85d47c4b53ad1e8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-12T17:14:51Z",
    "title_canon_sha256": "67e9e68b198c5c93a348a0110bdc3c4f1563748aa5618fb7c0f1ebab85989847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2710",
    "kind": "arxiv",
    "version": 2
  }
}