Pith Number

pith:ZNW5K5Q3

pith:2015:ZNW5K5Q3KGQXEMRBMIMI5KBIPB

not attested not anchored not stored refs pending

The Average Sensitivity of Bounded-Depth Formulas

Benjamin Rossman

arxiv:1508.07677 v1 · 2015-08-31 · 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{ZNW5K5Q3KGQXEMRBMIMI5KBIPB}

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	2026-05-18T01:34:31.687019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6dd5761b51a172322162188ea828787dc58e824fea5b6c72d8581810f3e289

Aliases

arxiv: 1508.07677 · arxiv_version: 1508.07677v1 · doi: 10.48550/arxiv.1508.07677 · pith_short_12: ZNW5K5Q3KGQX · pith_short_16: ZNW5K5Q3KGQXEMRB · pith_short_8: ZNW5K5Q3

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/ZNW5K5Q3KGQXEMRBMIMI5KBIPB \
  | 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: cb6dd5761b51a172322162188ea828787dc58e824fea5b6c72d8581810f3e289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498e4b5acaf878e031dbf0e2e3a0aff81564f005ede5c836f129b6941bb6e0b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-08-31T04:09:03Z",
    "title_canon_sha256": "8cbb98d69e3d6cf7a1252007c70e2a73d057f67fb0cc902834de23985279cb8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07677",
    "kind": "arxiv",
    "version": 1
  }
}