Pith Number

pith:QE6OH4ER

pith:2015:QE6OH4ERAATNNWILDOISROPYCD

not attested not anchored not stored refs pending

Effect of Gromov-hyperbolicity Parameter on Cuts and Expansions in Graphs and Some Algorithmic Implications

Bhaskar DasGupta, Farzaneh Yahyanejad, Marek Karpinski, Nasim Mobasheri

arxiv:1510.08779 v4 · 2015-10-29 · cs.CC · cs.DM · 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{QE6OH4ERAATNNWILDOISROPYCD}

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	2026-05-18T00:07:55.852182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813ce3f0910026d6d90b1b9128b9f810fb0b2b5fae789913a7f500a7ba381f0f

Aliases

arxiv: 1510.08779 · arxiv_version: 1510.08779v4 · doi: 10.48550/arxiv.1510.08779 · pith_short_12: QE6OH4ERAATN · pith_short_16: QE6OH4ERAATNNWIL · pith_short_8: QE6OH4ER

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/QE6OH4ERAATNNWILDOISROPYCD \
  | 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: 813ce3f0910026d6d90b1b9128b9f810fb0b2b5fae789913a7f500a7ba381f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1453c40d2e67feec98d92bdf2cde736f757ee0faa78d2aeb1d03cd56fabb7371",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-10-29T16:56:12Z",
    "title_canon_sha256": "05d189bd501ca8c15d5fa92df10e9a2caf73885085697f5ae4ee2302d51e9b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08779",
    "kind": "arxiv",
    "version": 4
  }
}