Pith Number

pith:66IABK55

pith:2013:66IABK55266ZPDVIV2TUZBVRZX

not attested not anchored not stored refs pending

Monotonicity of the polaron energy II:General theory of operator monotonicity

Tadahiro Miyao

arxiv:1301.1100 v1 · 2013-01-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66IABK55266ZPDVIV2TUZBVRZX}

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	2026-05-18T01:52:21.212733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79000abbdd7bd978ea8aea74c86b1cdde956c4b333bfe4519ffc7a733f2e22b

Aliases

arxiv: 1301.1100 · arxiv_version: 1301.1100v1 · doi: 10.48550/arxiv.1301.1100 · pith_short_12: 66IABK55266Z · pith_short_16: 66IABK55266ZPDVI · pith_short_8: 66IABK55

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/66IABK55266ZPDVIV2TUZBVRZX \
  | 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: f79000abbdd7bd978ea8aea74c86b1cdde956c4b333bfe4519ffc7a733f2e22b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c3e470a8a5a65218f987d28622a34ed209679c4269082cfaff7ee06177862f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-07T02:49:26Z",
    "title_canon_sha256": "eab0431454d4abb3e9bfa3688632f4379f092ab9f367ddd2119bee0a05e27c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1100",
    "kind": "arxiv",
    "version": 1
  }
}