Pith Number

pith:GO3Q27D3

pith:2014:GO3Q27D3Y2OYYC4SUPJEMBXOLL

not attested not anchored not stored refs pending

On complements of convex polyhedra as polynomial images of ${\mathbb R}^n$

Carlos Ueno, Jos\'e F. Fernando

arxiv:1412.5107 v2 · 2014-12-16 · 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{GO3Q27D3Y2OYYC4SUPJEMBXOLL}

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	2026-05-18T02:17:11.523582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33b70d7c7bc69d8c0b92a3d24606ee5ae3c1c0ea5b56f8d629ac8a1a272ee96a

Aliases

arxiv: 1412.5107 · arxiv_version: 1412.5107v2 · doi: 10.48550/arxiv.1412.5107 · pith_short_12: GO3Q27D3Y2OY · pith_short_16: GO3Q27D3Y2OYYC4S · pith_short_8: GO3Q27D3

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/GO3Q27D3Y2OYYC4SUPJEMBXOLL \
  | 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: 33b70d7c7bc69d8c0b92a3d24606ee5ae3c1c0ea5b56f8d629ac8a1a272ee96a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "468d0a44ca607016ef31fca945cc5e1d8cf5a96cba9b39efcba17bf24d387cb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-16T18:15:20Z",
    "title_canon_sha256": "480711008aa6f6d8c44b7890f387985749932d8bb502d878ed344f59e6cdf88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5107",
    "kind": "arxiv",
    "version": 2
  }
}