Pith Number

pith:SE5CYNSA

pith:2008:SE5CYNSAFL4AXRXCUMXXY3U4S3

not attested not anchored not stored refs pending

Spectral Pollution and How to Avoid It (With Applications to Dirac and Periodic Schr\"odinger Operators)

Eric s\'er\'e (CEREMADE), Mathieu Lewin (AGM)

arxiv:0812.2153 v1 · 2008-12-11 · math.SP · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SE5CYNSAFL4AXRXCUMXXY3U4S3}

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	2026-05-18T02:58:10.898654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

913a2c36402af80bc6e2a32f7c6e9c96c314a48ee75ba5ce3cb9e7b8211a41d6

Aliases

arxiv: 0812.2153 · arxiv_version: 0812.2153v1 · doi: 10.48550/arxiv.0812.2153 · pith_short_12: SE5CYNSAFL4A · pith_short_16: SE5CYNSAFL4AXRXC · pith_short_8: SE5CYNSA

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/SE5CYNSAFL4AXRXCUMXXY3U4S3 \
  | 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: 913a2c36402af80bc6e2a32f7c6e9c96c314a48ee75ba5ce3cb9e7b8211a41d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8b301102e7168b6725c0f7e3a57ab4f33468afe0f4738a41bee72cc4d58130",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-12-11T14:12:15Z",
    "title_canon_sha256": "f82e0f48b6ef49ca27143da1e4e4bf58737353fad7fb8c9c7d03130c6c65e00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2153",
    "kind": "arxiv",
    "version": 1
  }
}