Pith Number

pith:ODYOQSXD

pith:2018:ODYOQSXD7XFKJGY2TIKEYCSABG

not attested not anchored not stored refs pending

Solving group Steiner problems as Steiner problems: the rigorous proof

Yahui Sun

arxiv:1812.01678 v2 · 2018-11-29 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODYOQSXD7XFKJGY2TIKEYCSABG}

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	2026-05-17T23:49:16.961565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f0e84ae3fdcaa49b1a9a144c0a4009bcaf92dd33198f02b785ea974de22665

Aliases

arxiv: 1812.01678 · arxiv_version: 1812.01678v2 · doi: 10.48550/arxiv.1812.01678 · pith_short_12: ODYOQSXD7XFK · pith_short_16: ODYOQSXD7XFKJGY2 · pith_short_8: ODYOQSXD

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/ODYOQSXD7XFKJGY2TIKEYCSABG \
  | 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: 70f0e84ae3fdcaa49b1a9a144c0a4009bcaf92dd33198f02b785ea974de22665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf32ed3a8b61ccf785266e212aab5b2f309fb5345bbd1e4cdb27b1ec0b1676b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-11-29T07:23:44Z",
    "title_canon_sha256": "ea3e3f1d3d42e210ea60331673303fba7c7437ef87c1f5ff0db7ecb7ecf8a880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01678",
    "kind": "arxiv",
    "version": 2
  }
}