Pith Number

pith:5IS4RTUB

pith:2003:5IS4RTUBE57CZO3KZ7ADS7CXWL

not attested not anchored not stored refs pending

An uncertainty inequality for finite abelian groups

Roy Meshulam

arxiv:math/0312407 v1 · 2003-12-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IS4RTUBE57CZO3KZ7ADS7CXWL}

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	2026-07-04T14:38:06.812916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea25c8ce81277e2cbb6acfc0397c57b2dda7f664d9ca54369f13cf79b7e6cfe9

Aliases

arxiv: math/0312407 · arxiv_version: math/0312407v1 · doi: 10.48550/arxiv.math/0312407 · pith_short_12: 5IS4RTUBE57C · pith_short_16: 5IS4RTUBE57CZO3K · pith_short_8: 5IS4RTUB

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/5IS4RTUBE57CZO3KZ7ADS7CXWL \
  | 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: ea25c8ce81277e2cbb6acfc0397c57b2dda7f664d9ca54369f13cf79b7e6cfe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269dd0b05fb222bad1f3c377e9edc07e6057fa331b1d3bc9917b9428409e1fa5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-12-22T12:42:44Z",
    "title_canon_sha256": "99b4af43794a5a730cc6ac7b515e3295ec583c5f3315eecf14259ce229791304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312407",
    "kind": "arxiv",
    "version": 1
  }
}