Pith Number

pith:SBQTROY7

pith:2013:SBQTROY7HAZN3SXRMGOE7OPKIZ

not attested not anchored not stored refs pending

Substitution operators on the space of formal power series with a weighted cauchy product

Mohammad Reza Jabbarzadeh, Yousef Estaremi

arxiv:1310.8256 v1 · 2013-10-30 · 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{SBQTROY7HAZN3SXRMGOE7OPKIZ}

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	2026-05-18T03:08:25.608354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

906138bb1f3832ddcaf1619c4fb9ea46402f72314f265fe719679bb45c639682

Aliases

arxiv: 1310.8256 · arxiv_version: 1310.8256v1 · doi: 10.48550/arxiv.1310.8256 · pith_short_12: SBQTROY7HAZN · pith_short_16: SBQTROY7HAZN3SXR · pith_short_8: SBQTROY7

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/SBQTROY7HAZN3SXRMGOE7OPKIZ \
  | 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: 906138bb1f3832ddcaf1619c4fb9ea46402f72314f265fe719679bb45c639682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f0437c8dac62f20890b4a5268d2c922a8c0d0e4360fb7d3063e3d1e3659d59d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-30T18:27:10Z",
    "title_canon_sha256": "c291ffc892bf42e0391499eed92232544ac0fe85c05412d6594af9eee0f12c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8256",
    "kind": "arxiv",
    "version": 1
  }
}