Pith Number

pith:MOPVHKY6

pith:2015:MOPVHKY6IF24OJXY36VPOAHNJ6

not attested not anchored not stored refs pending

Cheeger $N$-clusters

Marco Caroccia

arxiv:1501.05923 v3 · 2015-01-23 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOPVHKY6IF24OJXY36VPOAHNJ6}

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	2026-05-18T00:47:37.083339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639f53ab1e4175c726f8dfaaf700ed4f85619b7b732a8c1476d8427e33243ce3

Aliases

arxiv: 1501.05923 · arxiv_version: 1501.05923v3 · doi: 10.48550/arxiv.1501.05923 · pith_short_12: MOPVHKY6IF24 · pith_short_16: MOPVHKY6IF24OJXY · pith_short_8: MOPVHKY6

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/MOPVHKY6IF24OJXY36VPOAHNJ6 \
  | 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: 639f53ab1e4175c726f8dfaaf700ed4f85619b7b732a8c1476d8427e33243ce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a5c2d82fd642fea9f2e8fce878635666f39657bac9e868cba9d907626aef2c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-23T19:26:50Z",
    "title_canon_sha256": "e5faa8ddbf36e5f7f96de9e62dddbe0bd1ce7f3073d3177e4e65ca388dcbcb17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05923",
    "kind": "arxiv",
    "version": 3
  }
}