Pith Number

pith:UR3RC74I

pith:2010:UR3RC74I57BE2LYMQKZWXJ5X3F

not attested not anchored not stored refs pending

Golden-Thompson from Davis

Igor Rivin

arxiv:1010.2193 v1 · 2010-10-11 · math.PR · math-ph · math.FA · 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{UR3RC74I57BE2LYMQKZWXJ5X3F}

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.

Cited by

1 paper in Pith

Monotonicity of isotropic tensor functions on the set of symmetric matrices: completing Rodney Hill's generalization of the Chandler Davis convexity theorem

Receipt and verification

First computed	2026-05-18T04:39:29.462733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a477117f88efc24d2f0c82b36ba7b7d950411980543109c28933470fce4c3b11

Aliases

arxiv: 1010.2193 · arxiv_version: 1010.2193v1 · doi: 10.48550/arxiv.1010.2193 · pith_short_12: UR3RC74I57BE · pith_short_16: UR3RC74I57BE2LYM · pith_short_8: UR3RC74I

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/UR3RC74I57BE2LYMQKZWXJ5X3F \
  | 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: a477117f88efc24d2f0c82b36ba7b7d950411980543109c28933470fce4c3b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445e7d0659234e05ea94096897a828a17716683ed44d53dee54db481b7d42312",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-11T19:21:18Z",
    "title_canon_sha256": "ef9a119177c3a4ad05f7d5e931ca8c54b9171a3271b5b3fd927ff3761666dd5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2193",
    "kind": "arxiv",
    "version": 1
  }
}