Pith Number

pith:GPE7XM6X

pith:2016:GPE7XM6XSZMDS7GB326RM2RBZD

not attested not anchored not stored refs pending

On spectral measures of random Jacobi matrices

Trinh Khanh Duy

arxiv:1601.01146 v3 · 2016-01-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPE7XM6XSZMDS7GB326RM2RBZD}

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	2026-05-18T00:33:07.328513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c9fbb3d79658397cc1debd166a21c8f1ea75328c493a62f19f402ffaf8752b

Aliases

arxiv: 1601.01146 · arxiv_version: 1601.01146v3 · doi: 10.48550/arxiv.1601.01146 · pith_short_12: GPE7XM6XSZMD · pith_short_16: GPE7XM6XSZMDS7GB · pith_short_8: GPE7XM6X

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/GPE7XM6XSZMDS7GB326RM2RBZD \
  | 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: 33c9fbb3d79658397cc1debd166a21c8f1ea75328c493a62f19f402ffaf8752b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d1d278ebfae5e65f561c5f1819077c8edcbfaa05b03b40aef04e84e122072b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-06T11:27:48Z",
    "title_canon_sha256": "0847b16dc267083f6bccf777a97355b5f9c537faf8c11663bbca61585ab05b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01146",
    "kind": "arxiv",
    "version": 3
  }
}