Pith Number

pith:3VPPOZPV

pith:2008:3VPPOZPV7RLM4YMLPLPDJZRS42

not attested not anchored not stored refs pending

Communication Lower Bounds Using Dual Polynomials

Alexander A. Sherstov

arxiv:0805.2135 v1 · 2008-05-14 · 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{3VPPOZPV7RLM4YMLPLPDJZRS42}

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	2026-07-04T15:11:34.354579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5ef765f5fc56ce618b7ade34e632e69262e6a36c5cd1fccf4ce2d559b3c2c2

Aliases

arxiv: 0805.2135 · arxiv_version: 0805.2135v1 · doi: 10.48550/arxiv.0805.2135 · pith_short_12: 3VPPOZPV7RLM · pith_short_16: 3VPPOZPV7RLM4YML · pith_short_8: 3VPPOZPV

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/3VPPOZPV7RLM4YMLPLPDJZRS42 \
  | 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: dd5ef765f5fc56ce618b7ade34e632e69262e6a36c5cd1fccf4ce2d559b3c2c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f768403c705595e8ef7ff536a91ac31dedb265ab5f605aabaa435eb7f9ed55c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2008-05-14T18:52:06Z",
    "title_canon_sha256": "29f52254b95683f2ac371f7fe69fd51c1d8ba0eb932678393eabdfb606443fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.2135",
    "kind": "arxiv",
    "version": 1
  }
}