Pith Number

pith:MSGXZB33

pith:2015:MSGXZB33TZB5A2SEA63YR2O2CR

not attested not anchored not stored refs pending

The injective Leavitt complex

Huanhuan Li

arxiv:1512.04178 v2 · 2015-12-14 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSGXZB33TZB5A2SEA63YR2O2CR}

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	2026-05-18T00:37:54.949819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

648d7c877b9e43d06a4407b788e9da145fb562707d509f01e2f0a2fadefa0e64

Aliases

arxiv: 1512.04178 · arxiv_version: 1512.04178v2 · doi: 10.48550/arxiv.1512.04178 · pith_short_12: MSGXZB33TZB5 · pith_short_16: MSGXZB33TZB5A2SE · pith_short_8: MSGXZB33

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/MSGXZB33TZB5A2SEA63YR2O2CR \
  | 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: 648d7c877b9e43d06a4407b788e9da145fb562707d509f01e2f0a2fadefa0e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43783b7d8321e9112fa2fdd6c080f77ec7745245a65c5544e2050b16c40c54c3",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-14T05:39:22Z",
    "title_canon_sha256": "3a8d6ceab8008b1451014fb034c7a9446058d58fa20d8e00f3dc540815a630a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04178",
    "kind": "arxiv",
    "version": 2
  }
}