Pith Number

pith:IOQKX2KM

pith:2014:IOQKX2KM3ZPU2Z73VJT7Q3525M

not attested not anchored not stored refs pending

Boundary and shape of Cohen-Macaulay cone

Hailong Dao, Kazuhiko Kurano

arxiv:1412.2182 v1 · 2014-12-05 · math.AC · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOQKX2KM3ZPU2Z73VJT7Q3525M}

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	2026-05-18T02:31:58.702415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a0abe94cde5f4d67fbaa67f86fbaeb0e8434266d927401043221fae408e72a

Aliases

arxiv: 1412.2182 · arxiv_version: 1412.2182v1 · doi: 10.48550/arxiv.1412.2182 · pith_short_12: IOQKX2KM3ZPU · pith_short_16: IOQKX2KM3ZPU2Z73 · pith_short_8: IOQKX2KM

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/IOQKX2KM3ZPU2Z73VJT7Q3525M \
  | 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: 43a0abe94cde5f4d67fbaa67f86fbaeb0e8434266d927401043221fae408e72a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51abac96a146faa946743c2d06634dd549c24941ba329931999bdada6111333",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-12-05T23:48:10Z",
    "title_canon_sha256": "e9a55da026d06cd3bc2d5c8f6899d70f83fdac5edece071aec3ddb5be2ea64f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2182",
    "kind": "arxiv",
    "version": 1
  }
}