Pith Number

pith:FCYA6PPM

pith:2014:FCYA6PPMC6X7Z5DAPU2NCTXYT6

not attested not anchored not stored refs pending

Spectral asymptotics for canonical systems

Aleksey Kostenko, Gerald Teschl, Jonathan Eckhardt

arxiv:1412.0277 v2 · 2014-11-30 · math.SP · 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{FCYA6PPMC6X7Z5DAPU2NCTXYT6}

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	2026-05-18T00:19:43.059961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b00f3dec17affcf4607d34d14ef89fab57226a778f7a5f729cb42dc50584c1

Aliases

arxiv: 1412.0277 · arxiv_version: 1412.0277v2 · doi: 10.48550/arxiv.1412.0277 · pith_short_12: FCYA6PPMC6X7 · pith_short_16: FCYA6PPMC6X7Z5DA · pith_short_8: FCYA6PPM

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/FCYA6PPMC6X7Z5DAPU2NCTXYT6 \
  | 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: 28b00f3dec17affcf4607d34d14ef89fab57226a778f7a5f729cb42dc50584c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19732b3da5a6979bccb2f298fa0b0dc6f408cb8e7dbc4b7e68e934609606b062",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-11-30T20:32:35Z",
    "title_canon_sha256": "30f5c76c9eb3ce15825a00d1c75d5528582ffa6a068c5ed38143340cda02c932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0277",
    "kind": "arxiv",
    "version": 2
  }
}