Pith Number

pith:MKFIKL42

pith:2013:MKFIKL42NNNA54ROMPBO4K2NML

not attested not anchored not stored refs pending

Hypercomplex structures with Hermitian-Norden metrics on four-dimensional Lie algebras

Mancho Manev

arxiv:1309.0975 v1 · 2013-09-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKFIKL42NNNA54ROMPBO4K2NML}

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	2026-05-18T02:54:21.310297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

628a852f9a6b5a0ef22e63c2ee2b4d62faffb04a3348e0ebf01292274ea39426

Aliases

arxiv: 1309.0975 · arxiv_version: 1309.0975v1 · doi: 10.48550/arxiv.1309.0975 · pith_short_12: MKFIKL42NNNA · pith_short_16: MKFIKL42NNNA54RO · pith_short_8: MKFIKL42

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/MKFIKL42NNNA54ROMPBO4K2NML \
  | 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: 628a852f9a6b5a0ef22e63c2ee2b4d62faffb04a3348e0ebf01292274ea39426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70cf88fd8416f44f812c497bfe48e6222615cc42c417bd086147e7db35782adf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-04T10:57:52Z",
    "title_canon_sha256": "1de7e008a337d0d6bfabc9058b7001000201d476ed75d939e479e65154d5277b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0975",
    "kind": "arxiv",
    "version": 1
  }
}