Pith Number

pith:CEJTBOUP

pith:2019:CEJTBOUPESYQ5JSRA4EFZEUTAF

not attested not anchored not stored refs pending

Analysis of the spectral symbol function for spectral approximation of a differential operator

Davide Bianchi

arxiv:1908.05788 v1 · 2019-08-15 · math.NA · cs.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEJTBOUPESYQ5JSRA4EFZEUTAF}

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	2026-07-04T23:57:53.173135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111330ba8f24b10ea65107085c9293014b1ac12222e1fc62b8ce267369ebe7c0

Aliases

arxiv: 1908.05788 · arxiv_version: 1908.05788v1 · doi: 10.48550/arxiv.1908.05788 · pith_short_12: CEJTBOUPESYQ · pith_short_16: CEJTBOUPESYQ5JSR · pith_short_8: CEJTBOUP

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/CEJTBOUPESYQ5JSRA4EFZEUTAF \
  | 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: 111330ba8f24b10ea65107085c9293014b1ac12222e1fc62b8ce267369ebe7c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda70e493bf02a43c909266f5b57dff3664f504843a193c5eb436ddc1533ef91",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-15T22:59:40Z",
    "title_canon_sha256": "a31fb9d1993fcf3ce6692f89b0bcd45da10a362575cbbac43658c1edb4253783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05788",
    "kind": "arxiv",
    "version": 1
  }
}