Pith Number

pith:IMZ4GVLW

pith:2015:IMZ4GVLWPF4LGT5RA5JKJ57DBX

not attested not anchored not stored refs pending

M\"obius transformation for left-derivative quaternion holomorphic functions

Sergio Giardino

arxiv:1508.01933 v1 · 2015-08-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMZ4GVLWPF4LGT5RA5JKJ57DBX}

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	2026-05-18T00:19:42.998971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4333c355767978b34fb10752a4f7e30dd45dccf948a566d68a115f9daa01eee5

Aliases

arxiv: 1508.01933 · arxiv_version: 1508.01933v1 · doi: 10.48550/arxiv.1508.01933 · pith_short_12: IMZ4GVLWPF4L · pith_short_16: IMZ4GVLWPF4LGT5R · pith_short_8: IMZ4GVLW

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/IMZ4GVLWPF4LGT5RA5JKJ57DBX \
  | 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: 4333c355767978b34fb10752a4f7e30dd45dccf948a566d68a115f9daa01eee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dacdb574dacd191dc0943ac88a28d128eaba1b019b8c54f445dbc89bb295d950",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-08T17:50:32Z",
    "title_canon_sha256": "61cdd257e2af84f0ac9f43be679f5ca39e15f362e6d0cd9386967334db56bc89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01933",
    "kind": "arxiv",
    "version": 1
  }
}