Pith Number

pith:UGNOYYMM

pith:2012:UGNOYYMMENQ6JSNJBOG3XML4O2

not attested not anchored not stored refs pending

Toric rings arising from cyclic polytopes

Akihiro Higashitani, Lukas Katth"an, Ryota Okazaki, Takayuki Hibi

arxiv:1204.5565 v1 · 2012-04-25 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGNOYYMMENQ6JSNJBOG3XML4O2}

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	2026-05-18T03:57:02.008729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19aec618c2361e4c9a90b8dbbb17c7697df372645dcb4f185d256d47f7d1c6a

Aliases

arxiv: 1204.5565 · arxiv_version: 1204.5565v1 · doi: 10.48550/arxiv.1204.5565 · pith_short_12: UGNOYYMMENQ6 · pith_short_16: UGNOYYMMENQ6JSNJ · pith_short_8: UGNOYYMM

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/UGNOYYMMENQ6JSNJBOG3XML4O2 \
  | 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: a19aec618c2361e4c9a90b8dbbb17c7697df372645dcb4f185d256d47f7d1c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e4094bafd74c8285900b72c65869787b0b948643d7216a79192e5ec98a482fa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-25T05:34:06Z",
    "title_canon_sha256": "14d3f995484547517b60f550d066bae4da30f8f7c4d96e2a442eb83f628d9c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5565",
    "kind": "arxiv",
    "version": 1
  }
}