Pith Number

pith:5Q43YYUY

pith:2014:5Q43YYUYZXBZHSKNFTPCLCJV3C

not attested not anchored not stored refs pending

Pseudorandomness and Fourier Growth Bounds for Width 3 Branching Programs

Andrew Wan, Salil Vadhan, Thomas Steinke

arxiv:1405.7028 v1 · 2014-05-27 · 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{5Q43YYUYZXBZHSKNFTPCLCJV3C}

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	2026-05-18T02:50:59.828496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec39bc6298cdc393c94d2cde258935d8bf444b5adc5fa435ab88ba1d8ce8b24f

Aliases

arxiv: 1405.7028 · arxiv_version: 1405.7028v1 · doi: 10.48550/arxiv.1405.7028 · pith_short_12: 5Q43YYUYZXBZ · pith_short_16: 5Q43YYUYZXBZHSKN · pith_short_8: 5Q43YYUY

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/5Q43YYUYZXBZHSKNFTPCLCJV3C \
  | 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: ec39bc6298cdc393c94d2cde258935d8bf444b5adc5fa435ab88ba1d8ce8b24f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b67b9e26a7fde7c593fc78cbc1699cc616506bc3a71c2124e4bfc08a333da2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-05-27T19:42:29Z",
    "title_canon_sha256": "62c0cc9bb4f5854499efef721ae412bf18feef8f551e0dc20bbad77268f8e5f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7028",
    "kind": "arxiv",
    "version": 1
  }
}