Pith Number

pith:FL77YLLR

pith:2017:FL77YLLR6Y2SSITTOF6MJDWG2R

not attested not anchored not stored refs pending

Magnetic sparseness and Schr\"odinger operators on graphs

Florentin M\"unch, Matthias Keller, Michel Bonnefont, Shiping Liu, Sylvain Gol\'enia

arxiv:1711.10418 v1 · 2017-11-28 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FL77YLLR6Y2SSITTOF6MJDWG2R}

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	2026-05-18T00:29:22.197099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2afffc2d71f635292273717cc48ec6d457a4a8d24b948d2b4a9165f282949194

Aliases

arxiv: 1711.10418 · arxiv_version: 1711.10418v1 · doi: 10.48550/arxiv.1711.10418 · pith_short_12: FL77YLLR6Y2S · pith_short_16: FL77YLLR6Y2SSITT · pith_short_8: FL77YLLR

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/FL77YLLR6Y2SSITTOF6MJDWG2R \
  | 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: 2afffc2d71f635292273717cc48ec6d457a4a8d24b948d2b4a9165f282949194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fc6fa2e485d951997093d9ada56f63584caab9db1e2e8dc71e96d3ae8a3ebb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-28T17:25:13Z",
    "title_canon_sha256": "6b04cd37a3d8ddd96d6fe0b439842dd3717275cd029457711ba1f30c8b797d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10418",
    "kind": "arxiv",
    "version": 1
  }
}