Pith Number

pith:KEGME6ZQ

pith:2010:KEGME6ZQQGZQGRQWNZE6PD7WDX

not attested not anchored not stored refs pending

On eigenvalues of the Schr\"odinger operator with a complex-valued polynomial potential

Andrei Gabrielov, Per Alexandersson

arxiv:1011.5833 v1 · 2010-11-26 · 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{KEGME6ZQQGZQGRQWNZE6PD7WDX}

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	2026-05-18T01:24:37.206206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510cc27b3081b30346166e49e78ff61df022bbf7ee542a1e66d2448eda6c3eca

Aliases

arxiv: 1011.5833 · arxiv_version: 1011.5833v1 · doi: 10.48550/arxiv.1011.5833 · pith_short_12: KEGME6ZQQGZQ · pith_short_16: KEGME6ZQQGZQGRQW · pith_short_8: KEGME6ZQ

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/KEGME6ZQQGZQGRQWNZE6PD7WDX \
  | 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: 510cc27b3081b30346166e49e78ff61df022bbf7ee542a1e66d2448eda6c3eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c7313c90928de064e1979182e0f600c53b7dbf48d9e07304522c2793eec00c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-26T16:13:09Z",
    "title_canon_sha256": "986e7b3e7fcbcd89dafa088c2f5397eca8a7faaca5a60611321d3cf31f9ceed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5833",
    "kind": "arxiv",
    "version": 1
  }
}