Pith Number

pith:NQUMEAM2

pith:2017:NQUMEAM24KID7ZFLXL2E4WVTRN

not attested not anchored not stored refs pending

A Counterexample to the Vector Generalization of Costa's EPI, and Partial Resolution

Guangyue Han, Thomas A. Courtade, Yaochen Wu

arxiv:1704.06164 v1 · 2017-04-20 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQUMEAM24KID7ZFLXL2E4WVTRN}

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	2026-05-18T00:46:03.134011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c28c2019ae2903fe4abbaf44e5ab38b79417f84e89ffa787a45c31ee8e92936

Aliases

arxiv: 1704.06164 · arxiv_version: 1704.06164v1 · doi: 10.48550/arxiv.1704.06164 · pith_short_12: NQUMEAM24KID · pith_short_16: NQUMEAM24KID7ZFL · pith_short_8: NQUMEAM2

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/NQUMEAM24KID7ZFLXL2E4WVTRN \
  | 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: 6c28c2019ae2903fe4abbaf44e5ab38b79417f84e89ffa787a45c31ee8e92936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f8c80992c1c0186b6a915402d7c499d798be131183253cc807a19ee7645558",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-04-20T14:22:11Z",
    "title_canon_sha256": "ea077f1e796bad019efa660bfc2c5d22060052ed9b930419188761b26620c645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06164",
    "kind": "arxiv",
    "version": 1
  }
}