Pith Number

pith:C7EP4GG6

pith:2011:C7EP4GG6UG7L4JTSD7LYFFWLZA

not attested not anchored not stored refs pending

Inverse problems for Jacobi operators III: Mass-spring perturbations of semi-infinite systems

Luis O. Silva, Mikhail Kudryavtsev, Rafael del Rio

arxiv:1111.3921 v3 · 2011-11-16 · 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{C7EP4GG6UG7L4JTSD7LYFFWLZA}

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	2026-05-18T03:36:46.617368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c8fe18dea1bebe26721fd78296cbc83de4bbc827e57845062909b644136d96

Aliases

arxiv: 1111.3921 · arxiv_version: 1111.3921v3 · doi: 10.48550/arxiv.1111.3921 · pith_short_12: C7EP4GG6UG7L · pith_short_16: C7EP4GG6UG7L4JTS · pith_short_8: C7EP4GG6

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/C7EP4GG6UG7L4JTSD7LYFFWLZA \
  | 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: 17c8fe18dea1bebe26721fd78296cbc83de4bbc827e57845062909b644136d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa321ef1c2c9adc5e0bf808f330e21c11fb4017c6e2354573545b3b3f20c579f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-16T19:35:51Z",
    "title_canon_sha256": "7cf93bca7782f0c7a9e9ba1097f27b4b18315c87118eedcb49c702f693eb2059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3921",
    "kind": "arxiv",
    "version": 3
  }
}