Pith Number

pith:LD3RN4EM

pith:2015:LD3RN4EMJKHV33Q7HHOSXJY6NA

not attested not anchored not stored refs pending

Rational maps $H$ for which $K(tH)$ has transcendence degree 2 over $K$

Michiel de Bondt

arxiv:1501.06046 v4 · 2015-01-24 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LD3RN4EMJKHV33Q7HHOSXJY6NA}

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	2026-05-18T00:31:29.172729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f716f08c4a8f5dee1f39dd2ba71e680fc453afc78830cbb73170f3c468fbcf

Aliases

arxiv: 1501.06046 · arxiv_version: 1501.06046v4 · doi: 10.48550/arxiv.1501.06046 · pith_short_12: LD3RN4EMJKHV · pith_short_16: LD3RN4EMJKHV33Q7 · pith_short_8: LD3RN4EM

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/LD3RN4EMJKHV33Q7HHOSXJY6NA \
  | 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: 58f716f08c4a8f5dee1f39dd2ba71e680fc453afc78830cbb73170f3c468fbcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6138e6819f309f758f74d997baab395ae9c4f42dce3421c3a6667788b1dcb52b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-24T14:24:39Z",
    "title_canon_sha256": "064e8f596d6b3556a4231dfd05d1a0882eb32069847addc80e9ab151e522986d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06046",
    "kind": "arxiv",
    "version": 4
  }
}