Pith Number

pith:4AJMIBPB

pith:2023:4AJMIBPBQGQNWG5BZD5GJFKCHW

not attested not anchored not stored refs pending

Differential calculus for fully matricial functions I

Hyuga Ito

arxiv:2310.09841 v2 · 2023-10-15 · 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{4AJMIBPBQGQNWG5BZD5GJFKCHW}

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	2026-07-05T07:10:29.104361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e012c405e181a0db1ba1c8fa6495423d9e56b25d2d19850d9a3d08d5d0d0cf9a

Aliases

arxiv: 2310.09841 · arxiv_version: 2310.09841v2 · doi: 10.48550/arxiv.2310.09841 · pith_short_12: 4AJMIBPBQGQN · pith_short_16: 4AJMIBPBQGQNWG5B · pith_short_8: 4AJMIBPB

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/4AJMIBPBQGQNWG5BZD5GJFKCHW \
  | 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: e012c405e181a0db1ba1c8fa6495423d9e56b25d2d19850d9a3d08d5d0d0cf9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a6f5cf26ef455c1fbb695ab1670ba830933af9c515743ec9a9fe085bbcec0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-10-15T14:03:37Z",
    "title_canon_sha256": "1c91937f4fa1c0184fdfb2947a6d4fe53b0a1ef6487c7560a52c4358df8b6314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.09841",
    "kind": "arxiv",
    "version": 2
  }
}