Pith Number

pith:GFDPRVHX

pith:2010:GFDPRVHXWAORPPQ6NBQZEQ3AA6

not attested not anchored not stored refs pending

Isospectral Potentials from Modified Factorization

Micheal S. Berger, Nail S. Ussembayev

arxiv:1008.1528 v1 · 2010-08-09 · quant-ph · 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{GFDPRVHXWAORPPQ6NBQZEQ3AA6}

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	2026-05-18T04:36:51.122326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3146f8d4f7b01d17be1e686192436007849188654a8c63a0fe03b2ae4ccd81f2

Aliases

arxiv: 1008.1528 · arxiv_version: 1008.1528v1 · doi: 10.48550/arxiv.1008.1528 · pith_short_12: GFDPRVHXWAOR · pith_short_16: GFDPRVHXWAORPPQ6 · pith_short_8: GFDPRVHX

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/GFDPRVHXWAORPPQ6NBQZEQ3AA6 \
  | 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: 3146f8d4f7b01d17be1e686192436007849188654a8c63a0fe03b2ae4ccd81f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c135e738b70f4b86f098d229a551d779b2cf9bff710fd027f0052bccd04d4644",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-09T15:23:47Z",
    "title_canon_sha256": "0dd4cbe4a7d011a6df46f68c137738fc2eb2f84c46020bfc7ef3e4d2d5adde6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1528",
    "kind": "arxiv",
    "version": 1
  }
}