Pith Number

pith:ALTS2PP4

pith:2015:ALTS2PP4JJOTFQ7CWDTPM3XF7V

not attested not anchored not stored refs pending

The Cohen-Macaulayness of the bounded complex of an affine oriented matroid

Kohji Yanagawa, Ryota Okazaki

arxiv:1512.06040 v3 · 2015-12-18 · 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{ALTS2PP4JJOTFQ7CWDTPM3XF7V}

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	2026-05-18T00:29:49.264016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e72d3dfc4a5d32c3e2b0e6f66ee5fd5e2b7b2430a850ee50c6e2b568e5f295

Aliases

arxiv: 1512.06040 · arxiv_version: 1512.06040v3 · doi: 10.48550/arxiv.1512.06040 · pith_short_12: ALTS2PP4JJOT · pith_short_16: ALTS2PP4JJOTFQ7C · pith_short_8: ALTS2PP4

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/ALTS2PP4JJOTFQ7CWDTPM3XF7V \
  | 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: 02e72d3dfc4a5d32c3e2b0e6f66ee5fd5e2b7b2430a850ee50c6e2b568e5f295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75fd189a2114f746fe0ed8858cda54f30a030ae32ff126bf8b796617a2b710de",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-18T17:07:43Z",
    "title_canon_sha256": "8d29efc0f7d60d4c8aa72b4fde1a28ab03709139c280dc4166f15b69986131d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06040",
    "kind": "arxiv",
    "version": 3
  }
}