Pith Number

pith:GOLLL2TP

pith:2014:GOLLL2TPMZZJI3WGSVUQWIRR3J

not attested not anchored not stored refs pending

The Morse and Maslov indices for multidimensional Schr\"odinger operators with matrix-valued potentials

Alim Sukhtayev, Christopher K.R.T. Jones, Graham Cox, Yuri Latushkin

arxiv:1408.1103 v2 · 2014-08-05 · math.SP · math.AP · math.FA · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOLLL2TPMZZJI3WGSVUQWIRR3J}

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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	2026-05-18T01:57:41.784460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3396b5ea6f6672946ec695690b2231da660b1301adaf5a1086d14e8978aea380

Aliases

arxiv: 1408.1103 · arxiv_version: 1408.1103v2 · doi: 10.48550/arxiv.1408.1103 · pith_short_12: GOLLL2TPMZZJ · pith_short_16: GOLLL2TPMZZJI3WG · pith_short_8: GOLLL2TP

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/GOLLL2TPMZZJI3WGSVUQWIRR3J \
  | 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: 3396b5ea6f6672946ec695690b2231da660b1301adaf5a1086d14e8978aea380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "527c0cd031e92042e52d28dfd7015a2e46234271191b70ad8cb99bd075475e78",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-08-05T20:08:02Z",
    "title_canon_sha256": "06381fa1c7f356edf957ec7c8a6f9be8329c2333faec63ea55184ed7564b5dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1103",
    "kind": "arxiv",
    "version": 2
  }
}