Pith Number

pith:6INKRU4V

pith:2013:6INKRU4VQVQ54EETASTAWIIYKI

not attested not anchored not stored refs pending

Random Rates for 0-Extension and Low-Diameter Decompositions

Anupam Gupta, Kunal Talwar

arxiv:1307.5582 v1 · 2013-07-22 · 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{6INKRU4VQVQ54EETASTAWIIYKI}

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	2026-05-18T03:17:55.317350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21aa8d3958561de109304a60b21185224ea7b0024c1d90e7a8bc64510c789a1

Aliases

arxiv: 1307.5582 · arxiv_version: 1307.5582v1 · doi: 10.48550/arxiv.1307.5582 · pith_short_12: 6INKRU4VQVQ5 · pith_short_16: 6INKRU4VQVQ54EET · pith_short_8: 6INKRU4V

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/6INKRU4VQVQ54EETASTAWIIYKI \
  | 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: f21aa8d3958561de109304a60b21185224ea7b0024c1d90e7a8bc64510c789a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3788d573e7335776530922e759c3a8ff30b02f102764f9d075951bbe19fa29b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-07-22T02:05:58Z",
    "title_canon_sha256": "996232772dd3d102400f220c1bd2980ea25d215820abc1c085a3bb7c85a99ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5582",
    "kind": "arxiv",
    "version": 1
  }
}