Pith Number

pith:ZHVR2LNY

pith:2011:ZHVR2LNYCWZBYXS3NQNBZ2WEOE

not attested not anchored not stored refs pending

On the spectral properties of L_{+-} in three dimensions

Min Huang, Ovidiu Costin, Wilhelm Schlag

arxiv:1107.0323 v1 · 2011-07-01 · math.AP · 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{ZHVR2LNYCWZBYXS3NQNBZ2WEOE}

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	2026-05-18T02:01:25.697914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9eb1d2db815b21c5e5b6c1a1ceac4712de41d66483caa3a8c4fa50747e03a0f

Aliases

arxiv: 1107.0323 · arxiv_version: 1107.0323v1 · doi: 10.48550/arxiv.1107.0323 · pith_short_12: ZHVR2LNYCWZB · pith_short_16: ZHVR2LNYCWZBYXS3 · pith_short_8: ZHVR2LNY

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/ZHVR2LNYCWZBYXS3NQNBZ2WEOE \
  | 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: c9eb1d2db815b21c5e5b6c1a1ceac4712de41d66483caa3a8c4fa50747e03a0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e49679b0a206813cc888eeb4513e73338430f07b06b57e0d66721157d50f5f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-01T20:15:43Z",
    "title_canon_sha256": "ee43eec3c92e8f21e0b8352c5e12be02613cec28c952a976a4fa724c8e2fe662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0323",
    "kind": "arxiv",
    "version": 1
  }
}