Pith Number

pith:XMT2IWU5

pith:2006:XMT2IWU5Y3XB43XLTVZCJWMJ7E

not attested not anchored not stored refs pending

Towards a classical proof of exponential lower bound for 2-probe smooth codes

Rahul Jain

arxiv:cs/0607042 v1 · 2006-07-11 · cs.CR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMT2IWU5Y3XB43XLTVZCJWMJ7E}

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	2026-07-04T15:02:52.818561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb27a45a9dc6ee1e6eeb9d7224d989f93aa35d6471c3618e1f2f8b8d0a39b43d

Aliases

arxiv: cs/0607042 · arxiv_version: cs/0607042v1 · doi: 10.48550/arxiv.cs/0607042 · pith_short_12: XMT2IWU5Y3XB · pith_short_16: XMT2IWU5Y3XB43XL · pith_short_8: XMT2IWU5

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/XMT2IWU5Y3XB43XLTVZCJWMJ7E \
  | 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: bb27a45a9dc6ee1e6eeb9d7224d989f93aa35d6471c3618e1f2f8b8d0a39b43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90849ac6bed9b2059ca36754cc1c1b73787cb8e687d4df551f3cd953aac55fff",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.CR",
    "submitted_at": "2006-07-11T02:56:28Z",
    "title_canon_sha256": "7d74121e51a339d45cd733457895051abad2f9ce5b45bea19007f84b232f240e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0607042",
    "kind": "arxiv",
    "version": 1
  }
}