Pith Number

pith:WFYDQS6P

pith:2014:WFYDQS6P4GHCHKBTTIQVZBZNH4

not attested not anchored not stored refs pending

Dimension Expanders via Rank Condensers

Michael A. Forbes, Venkatesan Guruswami

arxiv:1411.7455 v1 · 2014-11-27 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFYDQS6P4GHCHKBTTIQVZBZNH4}

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	2026-05-18T02:32:37.964415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b170384bcfe18e23a8339a215c872d3f223e6dffdfd41abeb02a24c85b185994

Aliases

arxiv: 1411.7455 · arxiv_version: 1411.7455v1 · doi: 10.48550/arxiv.1411.7455 · pith_short_12: WFYDQS6P4GHC · pith_short_16: WFYDQS6P4GHCHKBT · pith_short_8: WFYDQS6P

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/WFYDQS6P4GHCHKBTTIQVZBZNH4 \
  | 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: b170384bcfe18e23a8339a215c872d3f223e6dffdfd41abeb02a24c85b185994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69111edde71db8aa0ec5c2967901b591c466d5bfcdf1b49da3432e8fa9ed18f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-11-27T03:11:11Z",
    "title_canon_sha256": "911a9a98a1e4d51baf7aca58de1966fab7534f41c83218b551a965d018f17ac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7455",
    "kind": "arxiv",
    "version": 1
  }
}