Pith Number

pith:MZUB7YRG

pith:2015:MZUB7YRG5L2EUS572FVV4LHFOE

not attested not anchored not stored refs pending

Tight Bounds for Gomory-Hu-like Cut Counting

Lior Kamma, Rajesh Chitnis, Robert Krauthgamer

arxiv:1511.08647 v3 · 2015-11-27 · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZUB7YRG5L2EUS572FVV4LHFOE}

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	2026-05-18T00:28:57.177996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66681fe226eaf44a4bbfd16b5e2ce5710038e4c2dcf1bd18bade7ec8366f97cf

Aliases

arxiv: 1511.08647 · arxiv_version: 1511.08647v3 · doi: 10.48550/arxiv.1511.08647 · pith_short_12: MZUB7YRG5L2E · pith_short_16: MZUB7YRG5L2EUS57 · pith_short_8: MZUB7YRG

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/MZUB7YRG5L2EUS572FVV4LHFOE \
  | 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: 66681fe226eaf44a4bbfd16b5e2ce5710038e4c2dcf1bd18bade7ec8366f97cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133b1b85250ca751a5aabb209b1f5c0f563f0ba7c005bd1fa055b352c39df00e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-11-27T12:40:24Z",
    "title_canon_sha256": "0f239e733d6314030891509850c8723f933c25ca942a9876c931b3b3384f25a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08647",
    "kind": "arxiv",
    "version": 3
  }
}