Pith Number

pith:3XMYLN53

pith:2010:3XMYLN533VULLN52VYOWENVFPG

not attested not anchored not stored refs pending

On Robin boundary conditions and the Morse potential in quantum mechanics

B. Belchev, M.A. Walton

arxiv:1002.2139 v1 · 2010-02-10 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XMYLN533VULLN52VYOWENVFPG}

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	2026-05-18T02:09:10.100007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd985b7bbdd68b5b7baae1d6236a579b513c56640a81462c06da5503655f89b

Aliases

arxiv: 1002.2139 · arxiv_version: 1002.2139v1 · doi: 10.48550/arxiv.1002.2139 · pith_short_12: 3XMYLN533VUL · pith_short_16: 3XMYLN533VULLN52 · pith_short_8: 3XMYLN53

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/3XMYLN533VULLN52VYOWENVFPG \
  | 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: ddd985b7bbdd68b5b7baae1d6236a579b513c56640a81462c06da5503655f89b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5732a6770e94b7485cda1d798387b04e7e3caf073b79499018b01d0a8a92ce3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-10T17:09:22Z",
    "title_canon_sha256": "055f4cde786ea1d7933e95aae260a25e75b10c15355b45b9e883ef1e43f8b06d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2139",
    "kind": "arxiv",
    "version": 1
  }
}