Pith Number

pith:VCOTBC47

pith:2016:VCOTBC47SYIPATQQBCDSYI3DHA

not attested not anchored not stored refs pending

Restrictions of free arrangements and the division theorem

Takuro Abe

arxiv:1603.03863 v1 · 2016-03-12 · 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{VCOTBC47SYIPATQQBCDSYI3DHA}

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	2026-05-18T01:19:10.297914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89d308b9f9610f04e1008872c2363382d6f4de26fa6c3d208b01e6b31fb92c3

Aliases

arxiv: 1603.03863 · arxiv_version: 1603.03863v1 · doi: 10.48550/arxiv.1603.03863 · pith_short_12: VCOTBC47SYIP · pith_short_16: VCOTBC47SYIPATQQ · pith_short_8: VCOTBC47

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/VCOTBC47SYIPATQQBCDSYI3DHA \
  | 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: a89d308b9f9610f04e1008872c2363382d6f4de26fa6c3d208b01e6b31fb92c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ea34a04f6afcfc724323f77fa9332324a62d6ee4d4cf00face787dcbfbdd42",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-03-12T05:11:26Z",
    "title_canon_sha256": "c037372ae71462a36645a109290a111c72710494a3ac44bdd69ae5792250436b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03863",
    "kind": "arxiv",
    "version": 1
  }
}