Pith Number

pith:UTWAKXF5

pith:2012:UTWAKXF5RZCGD3GRGEGI3W7ZCD

not attested not anchored not stored refs pending

Canonical heights for plane polynomial maps of small topological degree

Elizabeth Wulcan, Mattias Jonsson

arxiv:1202.0203 v2 · 2012-02-01 · math.NT · 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{UTWAKXF5RZCGD3GRGEGI3W7ZCD}

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	2026-05-18T03:42:32.153902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ec055cbd8e4461ecd1310c8ddbf910ce7984a2f58a62afc0c59c67f688b99d

Aliases

arxiv: 1202.0203 · arxiv_version: 1202.0203v2 · doi: 10.48550/arxiv.1202.0203 · pith_short_12: UTWAKXF5RZCG · pith_short_16: UTWAKXF5RZCGD3GR · pith_short_8: UTWAKXF5

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/UTWAKXF5RZCGD3GRGEGI3W7ZCD \
  | 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: a4ec055cbd8e4461ecd1310c8ddbf910ce7984a2f58a62afc0c59c67f688b99d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018af1b8225fdee1cf99660f13ad9b232d36a7b3077af9503206408ac51ce9ad",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-01T16:29:02Z",
    "title_canon_sha256": "4e7b33bce7284f506750e2bb5c4eee8b95d45a428fbd16a7685ec78559b95f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0203",
    "kind": "arxiv",
    "version": 2
  }
}