Pith Number

pith:JCT73TDZ

pith:2012:JCT73TDZLWE7LUDUHCOXRWJWTO

not attested not anchored not stored refs pending

On Vertex Sparsifiers with Steiner Nodes

Julia Chuzhoy

arxiv:1204.2844 v1 · 2012-04-12 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCT73TDZLWE7LUDUHCOXRWJWTO}

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	2026-05-18T03:58:02.730391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a7fdcc795d89f5d074389d78d9369bb0eb72e3b665baee368ff154f15ec3f9

Aliases

arxiv: 1204.2844 · arxiv_version: 1204.2844v1 · doi: 10.48550/arxiv.1204.2844 · pith_short_12: JCT73TDZLWE7 · pith_short_16: JCT73TDZLWE7LUDU · pith_short_8: JCT73TDZ

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/JCT73TDZLWE7LUDUHCOXRWJWTO \
  | 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: 48a7fdcc795d89f5d074389d78d9369bb0eb72e3b665baee368ff154f15ec3f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca693041be105191ca8601fbf8dc122fb86d1358d2f3b2c6fbf5564a3b1492e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-04-12T21:37:48Z",
    "title_canon_sha256": "0e46cd742257c489dd4b0f0329db73490e05a3c2ba2ba6f89a0e960c24583f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2844",
    "kind": "arxiv",
    "version": 1
  }
}