Pith Number

pith:G3MXNCMA

pith:2013:G3MXNCMAJJZPXMGPCJOKASYKTN

not attested not anchored not stored refs pending

A note on invariant subspaces and the solution of some classical functional equations

J. M. Almira, Kh. F. Abu-Helaiel

arxiv:1310.7844 v1 · 2013-10-29 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3MXNCMAJJZPXMGPCJOKASYKTN}

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	2026-05-18T03:08:27.820424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d97689804a72fbb0cf125ca04b0a9b48869bf485905461bb8ff8225a1c03e7

Aliases

arxiv: 1310.7844 · arxiv_version: 1310.7844v1 · doi: 10.48550/arxiv.1310.7844 · pith_short_12: G3MXNCMAJJZP · pith_short_16: G3MXNCMAJJZPXMGP · pith_short_8: G3MXNCMA

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/G3MXNCMAJJZPXMGPCJOKASYKTN \
  | 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: 36d97689804a72fbb0cf125ca04b0a9b48869bf485905461bb8ff8225a1c03e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06b69cd6b721192bf9c9c0123efe61d23faf69d231b3d75a5d2f1e2a104c9ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-29T15:34:58Z",
    "title_canon_sha256": "cbb2abc060384a1c68c8b328bedc4cd0f33d72a1f38cd52de4a114dc50a09d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7844",
    "kind": "arxiv",
    "version": 1
  }
}