Pith Number

pith:OPSCPBV5

pith:2014:OPSCPBV5KLPWPRJ6QSXBYHKBJX

not attested not anchored not stored refs pending

Branched Coverings and Steiner Ratio

Alexandr Ivanov, Alexey Tuzhilin

arxiv:1412.5433 v1 · 2014-12-17 · 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{OPSCPBV5KLPWPRJ6QSXBYHKBJX}

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	2026-05-18T02:31:03.002336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e42786bd52df67c53e84ae1c1d414df1e90b802feea411b9e413be8bbdfd2b

Aliases

arxiv: 1412.5433 · arxiv_version: 1412.5433v1 · doi: 10.48550/arxiv.1412.5433 · pith_short_12: OPSCPBV5KLPW · pith_short_16: OPSCPBV5KLPWPRJ6 · pith_short_8: OPSCPBV5

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/OPSCPBV5KLPWPRJ6QSXBYHKBJX \
  | 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: 73e42786bd52df67c53e84ae1c1d414df1e90b802feea411b9e413be8bbdfd2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557b3bcf0f4313332754fbcfa8e95193224b32ceb428887d2a4adb23628e6f05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-17T15:21:24Z",
    "title_canon_sha256": "9e5396d2710ae9320113a8d95d124ecc988cc8af1a1986f91a70a56d38a1a3b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5433",
    "kind": "arxiv",
    "version": 1
  }
}