Pith Number

pith:42JUV36Z

pith:2010:42JUV36ZLBU662TNSMR7PMCT5S

not attested not anchored not stored refs pending

Compactness Properties of Weighted Summation Operators on Trees

Mikhail Lifshits, Werner Linde

arxiv:1006.3867 v1 · 2010-06-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42JUV36ZLBU662TNSMR7PMCT5S}

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	2026-05-18T04:30:59.690681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6934aefd95869ef6a6d9323f7b053ecb865239c9b49364259813061ce3f3dba

Aliases

arxiv: 1006.3867 · arxiv_version: 1006.3867v1 · doi: 10.48550/arxiv.1006.3867 · pith_short_12: 42JUV36ZLBU6 · pith_short_16: 42JUV36ZLBU662TN · pith_short_8: 42JUV36Z

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/42JUV36ZLBU662TNSMR7PMCT5S \
  | 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: e6934aefd95869ef6a6d9323f7b053ecb865239c9b49364259813061ce3f3dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "574c23e84a1a5ec87767ab5a92755b4450a0d49895416d5c9aafe493a09c2d38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-06-19T12:44:45Z",
    "title_canon_sha256": "7df013ad18b742c22ed39458d275ba4e7b80f84a433c462aba811aa30c927e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3867",
    "kind": "arxiv",
    "version": 1
  }
}