Pith Number

pith:J3FIR7HS

pith:2013:J3FIR7HSF5QMNTUQ4KUNYWVGTE

not attested not anchored not stored refs pending

Positive linear functionals on BP*-algebras

M. El Azhari

arxiv:1305.1610 v2 · 2013-05-07 · 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{J3FIR7HSF5QMNTUQ4KUNYWVGTE}

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	2026-05-18T02:19:06.348610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eca88fcf22f60c6ce90e2a8dc5aa69907fb68f14b448765065392f3d635c521

Aliases

arxiv: 1305.1610 · arxiv_version: 1305.1610v2 · doi: 10.48550/arxiv.1305.1610 · pith_short_12: J3FIR7HSF5QM · pith_short_16: J3FIR7HSF5QMNTUQ · pith_short_8: J3FIR7HS

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/J3FIR7HSF5QMNTUQ4KUNYWVGTE \
  | 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: 4eca88fcf22f60c6ce90e2a8dc5aa69907fb68f14b448765065392f3d635c521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7dd185f3c708f954679d760b7bc031687428bd2878a5fe6295220e7ae3d781b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-07T19:11:54Z",
    "title_canon_sha256": "c41ace0be4c4e1db9c69bfb26f8252e2f77908d0fab4c5f63862b092b1dc3e90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1610",
    "kind": "arxiv",
    "version": 2
  }
}