Pith Number

pith:G2K46XR5

pith:2011:G2K46XR57RHWIHGQ2AT6X6V3WC

not attested not anchored not stored refs pending

On the Integrality Gap of the Directed-Component Relaxation for Steiner Tree

Mohammad Taghi Hajiaghayi, Shi Li

arxiv:1111.6698 v2 · 2011-11-29 · 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{G2K46XR57RHWIHGQ2AT6X6V3WC}

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	2026-05-18T04:07:06.325040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3695cf5e3dfc4f641cd0d027ebfabbb08b80455ba8920d0adca6bc9edd416762

Aliases

arxiv: 1111.6698 · arxiv_version: 1111.6698v2 · doi: 10.48550/arxiv.1111.6698 · pith_short_12: G2K46XR57RHW · pith_short_16: G2K46XR57RHWIHGQ · pith_short_8: G2K46XR5

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/G2K46XR57RHWIHGQ2AT6X6V3WC \
  | 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: 3695cf5e3dfc4f641cd0d027ebfabbb08b80455ba8920d0adca6bc9edd416762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b95bf7cf0983631ec923759b1f43569008b0e7457715b1def58a8617e37c7646",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-11-29T05:29:28Z",
    "title_canon_sha256": "e8613ad61a873549af60831ed9c9e16045d08ff3d5fe32d68eb6293a7023ec32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6698",
    "kind": "arxiv",
    "version": 2
  }
}