Pith Number

pith:BBJQDRKE

pith:2012:BBJQDRKEYJHMXUVJTUSDSN2H4G

not attested not anchored not stored refs pending

On the complements of 3-dimensional convex polyhedra as polynomial images of ${\mathbb R}^3$

Carlos Ueno, Jos\'e F. Fernando

arxiv:1212.1815 v3 · 2012-12-08 · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBJQDRKEYJHMXUVJTUSDSN2H4G}

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	2026-05-18T02:56:58.535197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085301c544c24ecbd2a99d24393747e18dbca9b1231ac460c73f62a9dc9108f1

Aliases

arxiv: 1212.1815 · arxiv_version: 1212.1815v3 · doi: 10.48550/arxiv.1212.1815 · pith_short_12: BBJQDRKEYJHM · pith_short_16: BBJQDRKEYJHMXUVJ · pith_short_8: BBJQDRKE

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/BBJQDRKEYJHMXUVJTUSDSN2H4G \
  | 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: 085301c544c24ecbd2a99d24393747e18dbca9b1231ac460c73f62a9dc9108f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14f0415526455742b8865a66abc0faf6076197e8ed2186793cb346c8cbd4dac",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-08T16:35:25Z",
    "title_canon_sha256": "dd470e88604800154e57ef41dd5453df825f061e79ab7eb0fa57907f070af702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1815",
    "kind": "arxiv",
    "version": 3
  }
}