Pith Number

pith:OXEPJ2ZG

pith:2008:OXEPJ2ZGQW237R5RHFR7U6GPP2

not attested not anchored not stored refs pending

Quadratic pencil of difference equations: Jost solutions, spectrum, and principal vectors

Murat Adivar

arxiv:0809.3317 v2 · 2008-09-19 · 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{OXEPJ2ZGQW237R5RHFR7U6GPP2}

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	2026-05-18T04:33:49.989456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75c8f4eb2685b5bfc7b13963fa78cf7e9da95c72ac1d97c00b899da780a9087d

Aliases

arxiv: 0809.3317 · arxiv_version: 0809.3317v2 · doi: 10.48550/arxiv.0809.3317 · pith_short_12: OXEPJ2ZGQW23 · pith_short_16: OXEPJ2ZGQW237R5R · pith_short_8: OXEPJ2ZG

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/OXEPJ2ZGQW237R5RHFR7U6GPP2 \
  | 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: 75c8f4eb2685b5bfc7b13963fa78cf7e9da95c72ac1d97c00b899da780a9087d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faac2123d4de5376f241aa0d52224e9c6ea571f557504fe1f7ae78769783adec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-09-19T07:48:43Z",
    "title_canon_sha256": "09914b642b28fed3001517f20b6acaa7634ea4d2f885323d96603245d62d0ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3317",
    "kind": "arxiv",
    "version": 2
  }
}