Pith Number

pith:6ZUIFW7V

pith:2011:6ZUIFW7VBKIXHURJM22P457YE7

not attested not anchored not stored refs pending

A lower bound on the average entropy of a function determined up to a diagonal linear map on F_q^n

Ram Zamir, Yaron Shany

arxiv:1105.3793 v2 · 2011-05-19 · math.CO · 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{6ZUIFW7VBKIXHURJM22P457YE7}

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	2026-05-18T03:44:24.568940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f66882dbf50a9173d22966b4fe77f827c5b2616d9a21dc367f9895f288a79cf7

Aliases

arxiv: 1105.3793 · arxiv_version: 1105.3793v2 · doi: 10.48550/arxiv.1105.3793 · pith_short_12: 6ZUIFW7VBKIX · pith_short_16: 6ZUIFW7VBKIXHURJ · pith_short_8: 6ZUIFW7V

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/6ZUIFW7VBKIXHURJM22P457YE7 \
  | 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: f66882dbf50a9173d22966b4fe77f827c5b2616d9a21dc367f9895f288a79cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0ceda689cd34927272c9e24ec97875006c0e5634d0984d8364215e00e35d9d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-19T05:28:05Z",
    "title_canon_sha256": "d7a65de54d42a75d98888ec689e845b160fac02bb9702e8184d4f7f9770101c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3793",
    "kind": "arxiv",
    "version": 2
  }
}