Pith Number

pith:MFN6JKNG

pith:2013:MFN6JKNG7DS3I2DLAA3O6VJOM5

not attested not anchored not stored refs pending

On fluctuations of traces of large matrices over a non-commutative algebra

Mihai Popa, Yong Jiao

arxiv:1304.0041 v1 · 2013-03-29 · 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{MFN6JKNG7DS3I2DLAA3O6VJOM5}

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	2026-05-18T03:29:26.235303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

615be4a9a6f8e5b4686b0036ef552e675f670873e6443ac2ebc71274d3708ef6

Aliases

arxiv: 1304.0041 · arxiv_version: 1304.0041v1 · doi: 10.48550/arxiv.1304.0041 · pith_short_12: MFN6JKNG7DS3 · pith_short_16: MFN6JKNG7DS3I2DL · pith_short_8: MFN6JKNG

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/MFN6JKNG7DS3I2DLAA3O6VJOM5 \
  | 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: 615be4a9a6f8e5b4686b0036ef552e675f670873e6443ac2ebc71274d3708ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff4eed3dced0cfc8e69adb63884db366fe36965c5a2f955a18ed9dcd4eacd59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-03-29T23:07:28Z",
    "title_canon_sha256": "a22592a009fd7366f9bfa1b9e347eb4f51ec9dcf90360cfc51380006e9819b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0041",
    "kind": "arxiv",
    "version": 1
  }
}