Pith Number

pith:JDWBF2K3

pith:2026:JDWBF2K3IDBG5ZE63HRGLF2O4A

not attested not anchored not stored refs pending

Operator-norm bounds and a quadratic lower-growth example for the special Euclidean algebra se(3)

Sooraj K.C, Vivek Mishra

arxiv:2605.31076 v1 · 2026-05-29 · 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{JDWBF2K3IDBG5ZE63HRGLF2O4A}

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	2026-06-01T01:03:34.801056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ec12e95b40c26ee49ed9e265974ee0226cae2a862e3182bd5f4a210f03eea0

Aliases

arxiv: 2605.31076 · arxiv_version: 2605.31076v1 · doi: 10.48550/arxiv.2605.31076 · pith_short_12: JDWBF2K3IDBG · pith_short_16: JDWBF2K3IDBG5ZE6 · pith_short_8: JDWBF2K3

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/JDWBF2K3IDBG5ZE63HRGLF2O4A \
  | 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: 48ec12e95b40c26ee49ed9e265974ee0226cae2a862e3182bd5f4a210f03eea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f00118affec79886950302f0a4d699cadd51bada7464b23bfaf489466fa833b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-29T09:44:52Z",
    "title_canon_sha256": "a788db45ea0abd81264e090e84ad6b980270e4d0110d5b41343cc7a66d938919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31076",
    "kind": "arxiv",
    "version": 1
  }
}