Pith Number

pith:PKYCNAFD

pith:2014:PKYCNAFDXSM7OGS536EC4DLSHL

not attested not anchored not stored refs pending

The Fundamental Gap for a Class of Schr\"{o}dinger Operators on Path and Hypercube Graphs

Michael Jarret, Stephen P. Jordan

arxiv:1403.1473 v1 · 2014-03-06 · math-ph · math.MP · 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{PKYCNAFDXSM7OGS536EC4DLSHL}

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	2026-05-18T02:50:50.203915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab02680a3bc99f71a5ddf882e0d723ae4eaf324980f232d8618c982d11aec02

Aliases

arxiv: 1403.1473 · arxiv_version: 1403.1473v1 · doi: 10.48550/arxiv.1403.1473 · pith_short_12: PKYCNAFDXSM7 · pith_short_16: PKYCNAFDXSM7OGS5 · pith_short_8: PKYCNAFD

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/PKYCNAFDXSM7OGS536EC4DLSHL \
  | 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: 7ab02680a3bc99f71a5ddf882e0d723ae4eaf324980f232d8618c982d11aec02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4892b97194a67311b8f2259f31d05625ef759df0c0898d80d2cf591a46c328",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-06T16:01:22Z",
    "title_canon_sha256": "66bc723a42a4d9ed35176dee065eb20d5f81e4444a4bfc39416e9e529390a709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1473",
    "kind": "arxiv",
    "version": 1
  }
}