Pith Number

pith:NMCFYSPI

pith:2009:NMCFYSPILBZGDZSHJHDWD54HJU

not attested not anchored not stored refs pending

Small grid embeddings of 3-polytopes

Andr\'e Schulz, Ares Rib\'o Mor, G\"unter Rote

arxiv:0908.0488 v2 · 2009-08-04 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMCFYSPILBZGDZSHJHDWD54HJU}

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	2026-05-18T00:30:22.947679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b045c49e8587261e64749c761f7874d0a57068066541f454d713fb920dcd739

Aliases

arxiv: 0908.0488 · arxiv_version: 0908.0488v2 · doi: 10.48550/arxiv.0908.0488 · pith_short_12: NMCFYSPILBZG · pith_short_16: NMCFYSPILBZGDZSH · pith_short_8: NMCFYSPI

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/NMCFYSPILBZGDZSHJHDWD54HJU \
  | 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: 6b045c49e8587261e64749c761f7874d0a57068066541f454d713fb920dcd739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff00f316b7a39c0c2562a8ac16eaaf5c3dd9424041e6c162edee7d430b4e900",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2009-08-04T16:35:20Z",
    "title_canon_sha256": "01d8862274339e33831a4e8dd2edc5053b88e98d4fe7df37af628a8dc5192bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0488",
    "kind": "arxiv",
    "version": 2
  }
}