Pith Number

pith:JQQQTVBO

pith:2024:JQQQTVBO4SOY4OIKEW4EBG7TMQ

not attested not anchored not stored refs pending

Normed modules and the categorification of integrations, series expansions, and differentiations

Panyue Zhou, Shengda Liu, Yu-Zhe Liu, Zhaoyong Huang

arxiv:2405.02777 v3 · 2024-05-05 · math.RT · math.CT · 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{JQQQTVBO4SOY4OIKEW4EBG7TMQ}

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.

Cited by

1 paper in Pith

Normed modules, integral sequences, and integrals with variable upper limits

Receipt and verification

First computed	2026-07-05T10:56:06.000675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2109d42ee49d8e390a25b8409bf36434b2f5abdda2344965649e34f5be4086

Aliases

arxiv: 2405.02777 · arxiv_version: 2405.02777v3 · doi: 10.48550/arxiv.2405.02777 · pith_short_12: JQQQTVBO4SOY · pith_short_16: JQQQTVBO4SOY4OIK · pith_short_8: JQQQTVBO

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/JQQQTVBO4SOY4OIKEW4EBG7TMQ \
  | 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: 4c2109d42ee49d8e390a25b8409bf36434b2f5abdda2344965649e34f5be4086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37319b6021f4808b307607f8e7f85e66f3d8b1ac11b253032eef6ccce02847a6",
    "cross_cats_sorted": [
      "math.CT",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-05-05T00:19:37Z",
    "title_canon_sha256": "830329bebc3147fc6adc128c549e2e9b44fba88cfe507d691c1accc3a0263c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.02777",
    "kind": "arxiv",
    "version": 3
  }
}