Pith Number

pith:XEPHGIOM

pith:2014:XEPHGIOMUO32DHEAL5QVNY5GYL

not attested not anchored not stored refs pending

On summability, multipliability, product integrability and parallel translation

Anton\'in Slav\'ik, Seppo Heikkil\"a

arxiv:1410.1845 v2 · 2014-10-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEPHGIOMUO32DHEAL5QVNY5GYL}

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	2026-05-18T01:32:10.724994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91e7321cca3b7a19c805f6156e3a6c2e15317f576263ebc90e67112ead6c797

Aliases

arxiv: 1410.1845 · arxiv_version: 1410.1845v2 · doi: 10.48550/arxiv.1410.1845 · pith_short_12: XEPHGIOMUO32 · pith_short_16: XEPHGIOMUO32DHEA · pith_short_8: XEPHGIOM

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/XEPHGIOMUO32DHEAL5QVNY5GYL \
  | 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: b91e7321cca3b7a19c805f6156e3a6c2e15317f576263ebc90e67112ead6c797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b3616bf54a5f6d892039ba446804fddb32b722eae9af4c0135eb9851ae6d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-07T18:44:20Z",
    "title_canon_sha256": "57fe61744c8a8e437d14da5db490405e0a3079d35cb01342738eb34864f21f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1845",
    "kind": "arxiv",
    "version": 2
  }
}