Pith Number

pith:H3JYOYEM

pith:2017:H3JYOYEMEAR2VFBXNZT5522Y5F

not attested not anchored not stored refs pending

Detecting localized eigenstates of linear operators

Jianfeng Lu, Stefan Steinerberger

arxiv:1709.03364 v2 · 2017-09-11 · math.NA · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3JYOYEMEAR2VFBXNZT5522Y5F}

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	2026-05-18T00:20:46.757058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ed387608c2023aa94376e67deeb58e9422b6d5bb724fea779360372c78b9671

Aliases

arxiv: 1709.03364 · arxiv_version: 1709.03364v2 · doi: 10.48550/arxiv.1709.03364 · pith_short_12: H3JYOYEMEAR2 · pith_short_16: H3JYOYEMEAR2VFBX · pith_short_8: H3JYOYEM

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/H3JYOYEMEAR2VFBXNZT5522Y5F \
  | 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: 3ed387608c2023aa94376e67deeb58e9422b6d5bb724fea779360372c78b9671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49aeeb6b2bb66648268a573c6a283b433de01d1662f60f4ce8e2fd3bd2f3b39e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-11T13:20:53Z",
    "title_canon_sha256": "27789b4615b600a4f2b026e190cd856bc26aaaa9bb64d5b35587539d133e3887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03364",
    "kind": "arxiv",
    "version": 2
  }
}