Pith Number

pith:ZRAKSSRN

pith:2012:ZRAKSSRNPW2I5WWEXWX64BYCNN

not attested not anchored not stored refs pending

Semigroups and linear partial differential equations with delay

Andr\'as B\'atkai, Susanna Piazzera

arxiv:1211.7197 v1 · 2012-11-30 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRAKSSRNPW2I5WWEXWX64BYCNN}

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	2026-05-18T03:39:31.335580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc40a94a2d7db48edac4bdafee07026b7f9c0c2cc517bb137387d533c7d4a6f9

Aliases

arxiv: 1211.7197 · arxiv_version: 1211.7197v1 · doi: 10.48550/arxiv.1211.7197 · pith_short_12: ZRAKSSRNPW2I · pith_short_16: ZRAKSSRNPW2I5WWE · pith_short_8: ZRAKSSRN

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/ZRAKSSRNPW2I5WWEXWX64BYCNN \
  | 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: cc40a94a2d7db48edac4bdafee07026b7f9c0c2cc517bb137387d533c7d4a6f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3f455765f810037dd42e507f4e5601fa46985d497a2ff33adaeace4783ff76",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-30T09:29:22Z",
    "title_canon_sha256": "6094e3451d88ae9eb1ec9279d4ba5af49c25a8b49f946aad64da8a03ff83386c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7197",
    "kind": "arxiv",
    "version": 1
  }
}