Pith Number

pith:VW6LPC4H

pith:2016:VW6LPC4HWAEHRJPXELQ54QQL6Z

not attested not anchored not stored refs pending

Stability of determinacy and inverse spectral problems for Jacobi operators

Luis O. Silva, Rafael del Rio

arxiv:1610.01699 v2 · 2016-10-06 · 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{VW6LPC4HWAEHRJPXELQ54QQL6Z}

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	2026-05-18T00:31:36.321504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adbcb78b87b00878a5f722e1de420bf66abc162ce698c769d3f8eb8ab842d709

Aliases

arxiv: 1610.01699 · arxiv_version: 1610.01699v2 · doi: 10.48550/arxiv.1610.01699 · pith_short_12: VW6LPC4HWAEH · pith_short_16: VW6LPC4HWAEHRJPX · pith_short_8: VW6LPC4H

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/VW6LPC4HWAEHRJPXELQ54QQL6Z \
  | 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: adbcb78b87b00878a5f722e1de420bf66abc162ce698c769d3f8eb8ab842d709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4fe4afe5bc3455498a20a9a4ac73e7055187962530868142f95ac3a0fa9b320",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-06T00:41:56Z",
    "title_canon_sha256": "60bf421bdd164e50126bd6ae96e8eaeed156e8161c01324e440586c34796b468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01699",
    "kind": "arxiv",
    "version": 2
  }
}