Pith Number

pith:CESN34AU

pith:2013:CESN34AUCEG5OZRCY5U6TS5IKG

not attested not anchored not stored refs pending

A strong direct product theorem for the tribes function via the smooth-rectangle bound

Prahladh Harsha, Rahul Jain

arxiv:1302.0275 v6 · 2013-02-01 · 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{CESN34AUCEG5OZRCY5U6TS5IKG}

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	2026-05-18T02:47:53.126248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1124ddf014110dd76622c769e9cba851beb5d9b68cdf2d9c9094c86587060937

Aliases

arxiv: 1302.0275 · arxiv_version: 1302.0275v6 · doi: 10.48550/arxiv.1302.0275 · pith_short_12: CESN34AUCEG5 · pith_short_16: CESN34AUCEG5OZRC · pith_short_8: CESN34AU

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/CESN34AUCEG5OZRCY5U6TS5IKG \
  | 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: 1124ddf014110dd76622c769e9cba851beb5d9b68cdf2d9c9094c86587060937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4207eb797173a20f4a63247127833a818f25a8cdc241dbdfc612ac6be965fa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-02-01T20:47:07Z",
    "title_canon_sha256": "8308d21e8c611f8a0ae123315c28d6a70bef0ba7e91dca62e30f0f8fbf4159da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0275",
    "kind": "arxiv",
    "version": 6
  }
}