Pith Number

pith:MTTMGWKY

pith:2015:MTTMGWKY4HQPMS6VH5HFNFFU5A

not attested not anchored not stored refs pending

Discriminant Formulas and Applications

Alexander Young, James Zhang, Kenneth Chan

arxiv:1503.06327 v3 · 2015-03-21 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTTMGWKY4HQPMS6VH5HFNFFU5A}

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	2026-05-18T01:12:08.648956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e6c35958e1e0f64bd53f4e5694b4e828620584cf6ee3a416d85c490247e33a

Aliases

arxiv: 1503.06327 · arxiv_version: 1503.06327v3 · doi: 10.48550/arxiv.1503.06327 · pith_short_12: MTTMGWKY4HQP · pith_short_16: MTTMGWKY4HQPMS6V · pith_short_8: MTTMGWKY

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/MTTMGWKY4HQPMS6VH5HFNFFU5A \
  | 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: 64e6c35958e1e0f64bd53f4e5694b4e828620584cf6ee3a416d85c490247e33a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d04afd9bf644232d9a712c80323802bb2c21b1fb42667e977817b14344c3626",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-03-21T17:22:43Z",
    "title_canon_sha256": "ee30e785e9e188592dae8d549a9624445f73363b7e636e50df2021836aaa5b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06327",
    "kind": "arxiv",
    "version": 3
  }
}