Pith Number

pith:VDDCY2P7

pith:2007:VDDCY2P72ZSO6DCDPO4OFPJFI5

not attested not anchored not stored refs pending

A note on singularity and non-proper value set of polynomial maps of $\mathbb{C}^2$

Nguyen van Chau

arxiv:0710.5212 v1 · 2007-10-27 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDDCY2P72ZSO6DCDPO4OFPJFI5}

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	2026-05-18T00:35:36.568311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c62c69ffd664ef0c437bb8e2bd25474777b60abddcaeb1bb9715436c7dd280

Aliases

arxiv: 0710.5212 · arxiv_version: 0710.5212v1 · doi: 10.48550/arxiv.0710.5212 · pith_short_12: VDDCY2P72ZSO · pith_short_16: VDDCY2P72ZSO6DCD · pith_short_8: VDDCY2P7

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/VDDCY2P72ZSO6DCDPO4OFPJFI5 \
  | 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: a8c62c69ffd664ef0c437bb8e2bd25474777b60abddcaeb1bb9715436c7dd280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f647ad3543932bd11286a67a020a965c6e99fde310022343bcc2cd4eef4fffea",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-27T07:59:29Z",
    "title_canon_sha256": "d96ff99c64042598b03d5bf93a06a3093898321f7b4ae7b87116aa39e0097115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5212",
    "kind": "arxiv",
    "version": 1
  }
}