Pith Number

pith:PAOEEOOJ

pith:2010:PAOEEOOJ2QHLAVQG5FAPHP6EOE

not attested not anchored not stored refs pending

Unipotent Invariant Matrices

Mahir Bilen Can, Michael Joyce, Roger Howe

arxiv:1010.2187 v3 · 2010-10-11 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAOEEOOJ2QHLAVQG5FAPHP6EOE}

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	2026-05-18T03:32:45.735761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781c4239c9d40eb05606e940f3bfc4712f1de7076b44b241a01a648176aec82e

Aliases

arxiv: 1010.2187 · arxiv_version: 1010.2187v3 · doi: 10.48550/arxiv.1010.2187 · pith_short_12: PAOEEOOJ2QHL · pith_short_16: PAOEEOOJ2QHLAVQG · pith_short_8: PAOEEOOJ

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/PAOEEOOJ2QHLAVQG5FAPHP6EOE \
  | 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: 781c4239c9d40eb05606e940f3bfc4712f1de7076b44b241a01a648176aec82e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6edb84e2640164a77d1e3241c13177a14c40304df7c8014828cbb12d94423df4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-11T18:57:02Z",
    "title_canon_sha256": "ff1f2c78f61fb1e1db28fe1ee0a3d772a9d3f32e37e797f4336c58ef64e3c9ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2187",
    "kind": "arxiv",
    "version": 3
  }
}