Pith Number

pith:ZVFY5QFO

pith:2015:ZVFY5QFOK4UKXCZTOPUK5EG556

not attested not anchored not stored refs pending

On some geometric properties of quasi-product production models

Bang-Yen Chen, Gabriel-Eduard Vilcu, Haila Alodan, Sharief Deshmukh

arxiv:1512.05190 v3 · 2015-12-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVFY5QFOK4UKXCZTOPUK5EG556}

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	2026-05-17T23:54:07.777572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd4b8ec0ae5728ab8b3373e8ae90ddefac59afca1374e41c780b50be35f0c02f

Aliases

arxiv: 1512.05190 · arxiv_version: 1512.05190v3 · doi: 10.48550/arxiv.1512.05190 · pith_short_12: ZVFY5QFOK4UK · pith_short_16: ZVFY5QFOK4UKXCZT · pith_short_8: ZVFY5QFO

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/ZVFY5QFOK4UKXCZTOPUK5EG556 \
  | 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: cd4b8ec0ae5728ab8b3373e8ae90ddefac59afca1374e41c780b50be35f0c02f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4ae883b221720b28806d6d83e88b343d80954215d5ae45a9bcdea1bfa9fad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-16T14:41:32Z",
    "title_canon_sha256": "7cda0971277b98730e7748a30900ceeb3598e384bd2ce36201b3f69eb850942f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05190",
    "kind": "arxiv",
    "version": 3
  }
}