Pith Number

pith:MGSRX7OB

pith:2012:MGSRX7OBAN7CHJNMWUPCURR7XE

not attested not anchored not stored refs pending

Lattice multi-polygons

Akihiro Higashitani, Mikiya Masuda

arxiv:1204.0088 v4 · 2012-03-31 · math.CO · math.AT · 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{MGSRX7OBAN7CHJNMWUPCURR7XE}

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.

Cited by

1 paper in Pith

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Receipt and verification

First computed	2026-05-18T00:23:02.355395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a51bfdc1037e23a5acb51e2a463fb910f38761eab49907c68bdfbf84c36cc8

Aliases

arxiv: 1204.0088 · arxiv_version: 1204.0088v4 · doi: 10.48550/arxiv.1204.0088 · pith_short_12: MGSRX7OBAN7C · pith_short_16: MGSRX7OBAN7CHJNM · pith_short_8: MGSRX7OB

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/MGSRX7OBAN7CHJNMWUPCURR7XE \
  | 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: 61a51bfdc1037e23a5acb51e2a463fb910f38761eab49907c68bdfbf84c36cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335a5ab8aba4d27a1acaaddeb39650a4952ec86c0b5205fdb11ea49daf995f88",
    "cross_cats_sorted": [
      "math.AT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-31T09:17:00Z",
    "title_canon_sha256": "2321ae35c9b27b39d689b28bad4050ca211a299d9f06aacf9dcf7d0c15ea51f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0088",
    "kind": "arxiv",
    "version": 4
  }
}