Pith Number

pith:CXKCGDZE

pith:2013:CXKCGDZE62G4R7NMQBMMW2BEWS

not attested not anchored not stored refs pending

Parabolic type semigroups: asymptotics and order of contact

Fiana Jacobzon, Mark Elin

arxiv:1309.4002 v1 · 2013-09-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXKCGDZE62G4R7NMQBMMW2BEWS}

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	2026-05-18T03:13:11.541576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d4230f24f68dc8fdac8058cb6824b4b3d8947fa38dd7ddce0991850a00e75b

Aliases

arxiv: 1309.4002 · arxiv_version: 1309.4002v1 · doi: 10.48550/arxiv.1309.4002 · pith_short_12: CXKCGDZE62G4 · pith_short_16: CXKCGDZE62G4R7NM · pith_short_8: CXKCGDZE

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/CXKCGDZE62G4R7NMQBMMW2BEWS \
  | 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: 15d4230f24f68dc8fdac8058cb6824b4b3d8947fa38dd7ddce0991850a00e75b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3dcd24a991d07f5c2ec3c70fc7a7ee4aa494ff02d7868fab060a88d6ff0d0c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-09-16T15:23:03Z",
    "title_canon_sha256": "813eb8da992b735581b6f8c44c9d1b5d4712f8e3fbaec0da2693fd731f024ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4002",
    "kind": "arxiv",
    "version": 1
  }
}