Pith Number

pith:2ZGLKOPK

pith:2011:2ZGLKOPKDQEOBSXMBFJNJZDUHH

not attested not anchored not stored refs pending

On Strong Graph Partitions and Universal Steiner Trees

Chinmoy Dutta, Costas Busch, Jaikumar Radhakrishnan, Rajmohan Rajaraman, Srivathsan Srinivasagopalan

arxiv:1111.4766 v5 · 2011-11-21 · 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{2ZGLKOPKDQEOBSXMBFJNJZDUHH}

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	2026-05-18T02:26:01.331051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64cb539ea1c08e0caec0952d4e47439d3139ecfc4a1ffcf68fa84e334427ade

Aliases

arxiv: 1111.4766 · arxiv_version: 1111.4766v5 · doi: 10.48550/arxiv.1111.4766 · pith_short_12: 2ZGLKOPKDQEO · pith_short_16: 2ZGLKOPKDQEOBSXM · pith_short_8: 2ZGLKOPK

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/2ZGLKOPKDQEOBSXMBFJNJZDUHH \
  | 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: d64cb539ea1c08e0caec0952d4e47439d3139ecfc4a1ffcf68fa84e334427ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5431fe7426f4c654b869610988d1aed92692f6dbdf0ca6feafc95c468fe1fd61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-11-21T06:03:45Z",
    "title_canon_sha256": "6fedad4300801521bb3203a6275f37e449ed5dca090bbd9c1e7126cc04c684d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4766",
    "kind": "arxiv",
    "version": 5
  }
}