Pith Number

pith:F4X4LY3U

pith:2015:F4X4LY3UWVHIIVGMTRVJQGUXQQ

not attested not anchored not stored refs pending

Pinchings and Positive linear maps

Eun-Young Lee, Jean-Christophe Bourin

arxiv:1505.02341 v1 · 2015-05-10 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4X4LY3UWVHIIVGMTRVJQGUXQQ}

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	2026-05-18T02:16:19.083137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2fc5e374b54e8454cc9c6a981a978416793ba297ddff9d9eb8d0563bc6ce67

Aliases

arxiv: 1505.02341 · arxiv_version: 1505.02341v1 · doi: 10.48550/arxiv.1505.02341 · pith_short_12: F4X4LY3UWVHI · pith_short_16: F4X4LY3UWVHIIVGM · pith_short_8: F4X4LY3U

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/F4X4LY3UWVHIIVGMTRVJQGUXQQ \
  | 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: 2f2fc5e374b54e8454cc9c6a981a978416793ba297ddff9d9eb8d0563bc6ce67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247dd5d8bfe617023791018fadf4ab78b3f5daf3f3c5f7acff6e03e0841e1132",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-10T04:29:47Z",
    "title_canon_sha256": "ecd040d5e4625ccde61051832bf523316731c3e155defceba1f4a2787defbed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02341",
    "kind": "arxiv",
    "version": 1
  }
}