Pith Number

pith:ZE2I2HR2

pith:2014:ZE2I2HR25I7Z5SQOXUUEKUH6SB

not attested not anchored not stored refs pending

Orthogonally additive and orthogonally multiplicative holomorphic functions of matrices

Chingjou Liao, Ngai-Ching Wong, Qingying Bu

arxiv:1402.6849 v1 · 2014-02-27 · 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{ZE2I2HR25I7Z5SQOXUUEKUH6SB}

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	2026-05-18T02:57:36.806851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9348d1e3aea3f9eca0ebd284550fe9060a658f234f0ea553f07507e3ded662d

Aliases

arxiv: 1402.6849 · arxiv_version: 1402.6849v1 · doi: 10.48550/arxiv.1402.6849 · pith_short_12: ZE2I2HR25I7Z · pith_short_16: ZE2I2HR25I7Z5SQO · pith_short_8: ZE2I2HR2

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/ZE2I2HR25I7Z5SQOXUUEKUH6SB \
  | 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: c9348d1e3aea3f9eca0ebd284550fe9060a658f234f0ea553f07507e3ded662d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40fcfbd1c94ce1568bb3ab5e9c9e28d7bbebadef58b3c6fea4c3761ff6d7e85",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-27T10:20:10Z",
    "title_canon_sha256": "c3e12b5815a4c8abe8e4d2aa76382239b3c09e4dfa09827f9de3dd30b85f46f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6849",
    "kind": "arxiv",
    "version": 1
  }
}