Pith Number

pith:CNRRGG3Q

pith:2013:CNRRGG3Q3J37JG2TDIJAQHG2GO

not attested not anchored not stored refs pending

A simple approximation algorithm for the internal Steiner minimum tree

Bang Ye Wu

arxiv:1307.3822 v2 · 2013-07-15 · 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{CNRRGG3Q3J37JG2TDIJAQHG2GO}

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	2026-05-18T03:18:18.048570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1363131b70da77f49b531a12081cda3384d0160044df6bef7b193cc42b894bc0

Aliases

arxiv: 1307.3822 · arxiv_version: 1307.3822v2 · doi: 10.48550/arxiv.1307.3822 · pith_short_12: CNRRGG3Q3J37 · pith_short_16: CNRRGG3Q3J37JG2T · pith_short_8: CNRRGG3Q

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/CNRRGG3Q3J37JG2TDIJAQHG2GO \
  | 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: 1363131b70da77f49b531a12081cda3384d0160044df6bef7b193cc42b894bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09a67006b653e8b234a33afb23ac0fed6e0c203df936228057ad034369a7a8c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-07-15T05:56:54Z",
    "title_canon_sha256": "85b9a1bf8f0dfafeffcc4cf52f4def3a9b88d74e7d431c5cd5268e806980e121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3822",
    "kind": "arxiv",
    "version": 2
  }
}