Pith Number

pith:B3A2D4XB

pith:2013:B3A2D4XBCXH4NAULASIGFM5HNV

not attested not anchored not stored refs pending

An example of a minimal action of the free semi-group $\F^{+}_{2}$ on the Hilbert space

Maria Roginskaya, Sophie Grivaux

arxiv:1301.6144 v1 · 2013-01-25 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3A2D4XBCXH4NAULASIGFM5HNV}

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	2026-05-18T03:35:26.962797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec1a1f2e115cfc6828b049062b3a76d77875ad1defcecf58dba3d552f7403d8

Aliases

arxiv: 1301.6144 · arxiv_version: 1301.6144v1 · doi: 10.48550/arxiv.1301.6144 · pith_short_12: B3A2D4XBCXH4 · pith_short_16: B3A2D4XBCXH4NAUL · pith_short_8: B3A2D4XB

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/B3A2D4XBCXH4NAULASIGFM5HNV \
  | 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: 0ec1a1f2e115cfc6828b049062b3a76d77875ad1defcecf58dba3d552f7403d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4190d1709758c2f74986144921a6cf6c734028b81714f09145afd1fa055b513",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-25T19:52:25Z",
    "title_canon_sha256": "01ece88ad6197cb38e650d59bc0ef9c5f09e7ac5b179f6bf34a4b0645ce91fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6144",
    "kind": "arxiv",
    "version": 1
  }
}