Pith Number

pith:RYD5OVCM

pith:2016:RYD5OVCM7G34OH4NEABGDZ52WG

not attested not anchored not stored refs pending

Resolvent expansions for the Schr\"odinger operator on the discrete half-line

Arne Jensen, Kenichi Ito

arxiv:1612.01329 v2 · 2016-12-05 · math-ph · math.MP · 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{RYD5OVCM7G34OH4NEABGDZ52WG}

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	2026-05-18T00:46:22.382332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e07d7544cf9b7c71f8d200261e7bab1a74b8cb7bcd37bbf05a95b3847ce771f

Aliases

arxiv: 1612.01329 · arxiv_version: 1612.01329v2 · doi: 10.48550/arxiv.1612.01329 · pith_short_12: RYD5OVCM7G34 · pith_short_16: RYD5OVCM7G34OH4N · pith_short_8: RYD5OVCM

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/RYD5OVCM7G34OH4NEABGDZ52WG \
  | 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: 8e07d7544cf9b7c71f8d200261e7bab1a74b8cb7bcd37bbf05a95b3847ce771f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3eb657f2fcd7521be9797096f69166a6791e6be78bd33f8bae2938d639a984",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-05T12:42:44Z",
    "title_canon_sha256": "c6d8145e3b57940f5040fa80c4239b714ad7532dda6d51383b37c3e8ff1e1590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01329",
    "kind": "arxiv",
    "version": 2
  }
}