Pith Number

pith:2BMJS77F

pith:2015:2BMJS77FBQTBEVVLQT6YVV2PWO

not attested not anchored not stored refs pending

Matrix Schr\"odinger Operators and Weighted Bergman Kernels

Gian Maria Dall'Ara

arxiv:1501.06311 v1 · 2015-01-26 · math.CV · 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{2BMJS77FBQTBEVVLQT6YVV2PWO}

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	2026-05-18T02:27:08.699660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d058997fe50c261256ab84fd8ad74fb3b02ff66be269b97151f9d619c8a984a3

Aliases

arxiv: 1501.06311 · arxiv_version: 1501.06311v1 · doi: 10.48550/arxiv.1501.06311 · pith_short_12: 2BMJS77FBQTB · pith_short_16: 2BMJS77FBQTBEVVL · pith_short_8: 2BMJS77F

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/2BMJS77FBQTBEVVLQT6YVV2PWO \
  | 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: d058997fe50c261256ab84fd8ad74fb3b02ff66be269b97151f9d619c8a984a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b7406cd7741374d84ef932b137e0261d0556fdd226c5aa943fa3fde776c389e",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-26T10:23:18Z",
    "title_canon_sha256": "ca08af2ecaa91ab0f23732012cb0d74eb4a6d5356b6ab39e8f374e27e25248ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06311",
    "kind": "arxiv",
    "version": 1
  }
}