Pith Number

pith:YCHIL2HV

pith:2016:YCHIL2HV7ET5WYR6TJ66GH7EPU

not attested not anchored not stored refs pending

Coupling of symmetric operators and the third Green identity

Fritz Gesztesy, Jussi Behrndt, Marius Mitrea, Vladimir Derkach

arxiv:1607.07159 v1 · 2016-07-25 · math.AP · 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{YCHIL2HV7ET5WYR6TJ66GH7EPU}

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	2026-05-18T01:10:34.602435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c08e85e8f5f927db623e9a7de31fe47d03eff698ccf0e6ebb8c15475688fef89

Aliases

arxiv: 1607.07159 · arxiv_version: 1607.07159v1 · doi: 10.48550/arxiv.1607.07159 · pith_short_12: YCHIL2HV7ET5 · pith_short_16: YCHIL2HV7ET5WYR6 · pith_short_8: YCHIL2HV

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/YCHIL2HV7ET5WYR6TJ66GH7EPU \
  | 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: c08e85e8f5f927db623e9a7de31fe47d03eff698ccf0e6ebb8c15475688fef89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "933b67a5d97f68c9795e0e5631907d66152a63659d58c5b5d85218f20e6a33f1",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-25T06:38:57Z",
    "title_canon_sha256": "ebc9aaa4875fd4cae14501fd53dca034fb50a166b01d79ba3ab51b2e2f6c46f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07159",
    "kind": "arxiv",
    "version": 1
  }
}