Pith Number

pith:CEWLWS4Y

pith:2018:CEWLWS4YHHXLWQLO6DL5U6SOIF

not attested not anchored not stored refs pending

Some Remarks on the Operator T^*T

Fritz Gesztesy, Konrad Schm\"udgen

arxiv:1802.05793 v2 · 2018-02-15 · 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{CEWLWS4YHHXLWQLO6DL5U6SOIF}

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	2026-05-18T00:21:45.582408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

112cbb4b9839eebb416ef0d7da7a4e414b6d1477bf027f5137ffc3a0b22fe34a

Aliases

arxiv: 1802.05793 · arxiv_version: 1802.05793v2 · doi: 10.48550/arxiv.1802.05793 · pith_short_12: CEWLWS4YHHXL · pith_short_16: CEWLWS4YHHXLWQLO · pith_short_8: CEWLWS4Y

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/CEWLWS4YHHXLWQLO6DL5U6SOIF \
  | 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: 112cbb4b9839eebb416ef0d7da7a4e414b6d1477bf027f5137ffc3a0b22fe34a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b3292b9b6525c6fafbd45a61580fee70f254edf15109323a5cfa469be33f59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-02-15T23:25:49Z",
    "title_canon_sha256": "c986ca856a27e4074fa1ef31cf90d2a5cce7cda823e6a5a447eb150c6225ff84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05793",
    "kind": "arxiv",
    "version": 2
  }
}