Pith Number

pith:UOPK34GQ

pith:2010:UOPK34GQTYEEQDLXYITY4BMTJP

not attested not anchored not stored refs pending

Another observation about operator compressions

Elizabeth S. Meckes, Mark W. Meckes

arxiv:1001.1954 v2 · 2010-01-12 · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UOPK34GQTYEEQDLXYITY4BMTJP}

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	2026-05-18T04:28:30.049120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39eadf0d09e08480d77c2278e05934bcb4dad7e9b728c065d90eef6a4003a1c

Aliases

arxiv: 1001.1954 · arxiv_version: 1001.1954v2 · doi: 10.48550/arxiv.1001.1954 · pith_short_12: UOPK34GQTYEE · pith_short_16: UOPK34GQTYEEQDLX · pith_short_8: UOPK34GQ

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/UOPK34GQTYEEQDLXYITY4BMTJP \
  | 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: a39eadf0d09e08480d77c2278e05934bcb4dad7e9b728c065d90eef6a4003a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a5364f928dbe63ebcc2d27c9a76067e9e93d8daaf464e4c0c5df3e5034ce60",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-12T17:20:37Z",
    "title_canon_sha256": "cb670c5ec000c3451ad11a0960e39fa411f99ba42331072c1ea7cab7405144e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1954",
    "kind": "arxiv",
    "version": 2
  }
}