Pith Number

pith:2HQHDJU2

pith:2012:2HQHDJU23A2ZZLISAKPUNFQILH

not attested not anchored not stored refs pending

On the set of points at infinity of a polynomial image of ${\mathbb R}^n$

Carlos Ueno, Jos\'e F. Fernando

arxiv:1212.1811 v3 · 2012-12-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HQHDJU23A2ZZLISAKPUNFQILH}

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	2026-05-18T02:48:27.492660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e071a69ad8359cad12029f46960859cce0306e0ad4bc9e16482baef41a37dd

Aliases

arxiv: 1212.1811 · arxiv_version: 1212.1811v3 · doi: 10.48550/arxiv.1212.1811 · pith_short_12: 2HQHDJU23A2Z · pith_short_16: 2HQHDJU23A2ZZLIS · pith_short_8: 2HQHDJU2

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/2HQHDJU23A2ZZLISAKPUNFQILH \
  | 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: d1e071a69ad8359cad12029f46960859cce0306e0ad4bc9e16482baef41a37dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49d70d9db5915e2290ff86e6add8161f5d5c0d86deae62fba182bcb0bd86142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-08T16:24:40Z",
    "title_canon_sha256": "96db57fd9f74cefd6930159afbed705eaf01fdc966a4a9bd6734e8a32b5a676d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1811",
    "kind": "arxiv",
    "version": 3
  }
}