Pith Number

pith:ZZUBWCKT

pith:2009:ZZUBWCKTMN2TF453RFUXSIOHQV

not attested not anchored not stored refs pending

Dependence on parameters for discrete second order boundary value problems

Marek Galewski

arxiv:0912.5224 v1 · 2009-12-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZUBWCKTMN2TF453RFUXSIOHQV}

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	2026-05-18T03:39:05.561811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce681b0953637532f3bb89697921c785606ea2b8da2d321061c8f25c30d1385f

Aliases

arxiv: 0912.5224 · arxiv_version: 0912.5224v1 · doi: 10.48550/arxiv.0912.5224 · pith_short_12: ZZUBWCKTMN2T · pith_short_16: ZZUBWCKTMN2TF453 · pith_short_8: ZZUBWCKT

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/ZZUBWCKTMN2TF453RFUXSIOHQV \
  | 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: ce681b0953637532f3bb89697921c785606ea2b8da2d321061c8f25c30d1385f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e87822e5e569bfbe6f9f220b49a058a8d2d0c45cc4686d25fc3a79453cb523a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-12-28T23:09:13Z",
    "title_canon_sha256": "f11c2a574f8d3b065aad547bb9f610ed46cbe86d36f9dcfe70330fb9bde7a30e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5224",
    "kind": "arxiv",
    "version": 1
  }
}