Pith Number

pith:QMFMFDWO

pith:2008:QMFMFDWOSYZIKRXYVRXEZ4DZXK

not attested not anchored not stored refs pending

Hamiltonians with purely discrete spectrum

Vladimir Georgescu (AGM)

arxiv:0810.5563 v2 · 2008-10-30 · math.FA · 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{QMFMFDWOSYZIKRXYVRXEZ4DZXK}

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	2026-05-18T02:47:53.347097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830ac28ece96328546f8ac6e4cf079ba8812e47fc63486f49fbac3105a4d048b

Aliases

arxiv: 0810.5563 · arxiv_version: 0810.5563v2 · doi: 10.48550/arxiv.0810.5563 · pith_short_12: QMFMFDWOSYZI · pith_short_16: QMFMFDWOSYZIKRXY · pith_short_8: QMFMFDWO

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/QMFMFDWOSYZIKRXYVRXEZ4DZXK \
  | 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: 830ac28ece96328546f8ac6e4cf079ba8812e47fc63486f49fbac3105a4d048b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7caaa3fcab024ea72fcae5e6b3cf06ed845cc4c8713e846c886913b802400ffb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-10-30T20:08:11Z",
    "title_canon_sha256": "bbd700c4dc57fb18e2d7da210fe8a45086dad9e0903f25b69eea64efb09d9faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.5563",
    "kind": "arxiv",
    "version": 2
  }
}