Pith Number

pith:JSHQRRMC

pith:2024:JSHQRRMC3LB77GVSBVSB4GRRUO

not attested not anchored not stored refs pending

Resolvent and spectrum for discrete symplectic systems in the limit point case

Petr Zem\'anek

arxiv:2412.16756 v1 · 2024-12-21 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSHQRRMC3LB77GVSBVSB4GRRUO}

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	2026-07-05T09:53:12.683538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c8f08c582dac3ff9ab20d641e1a31a3925e1e4b32f5977fc84e061530eeb14d

Aliases

arxiv: 2412.16756 · arxiv_version: 2412.16756v1 · doi: 10.48550/arxiv.2412.16756 · pith_short_12: JSHQRRMC3LB7 · pith_short_16: JSHQRRMC3LB77GVS · pith_short_8: JSHQRRMC

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/JSHQRRMC3LB77GVSBVSB4GRRUO \
  | 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: 4c8f08c582dac3ff9ab20d641e1a31a3925e1e4b32f5977fc84e061530eeb14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea07b22f224be72dc49f7d98c2e8e4c1b543fdf9a6560f1aeeb5e5abca671631",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-21T20:09:22Z",
    "title_canon_sha256": "ff4ddd8a7d5996895012b0896f2b5a50c9a232f1718b5ff7055610700587ab51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16756",
    "kind": "arxiv",
    "version": 1
  }
}