Pith Number

pith:YT5SMQXE

pith:2009:YT5SMQXEZ74T6E7WNHKCWUBKDE

not attested not anchored not stored refs pending

Spectral data for pairs of matrices of order 3 and action of the group $GL(2,Z)$

Yury A. Neretin

arxiv:0910.0606 v1 · 2009-10-04 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT5SMQXEZ74T6E7WNHKCWUBKDE}

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	2026-05-18T03:40:03.811340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4fb2642e4cff93f13f669d42b502a1938b511695e2829ce67d53e01ffeaff43

Aliases

arxiv: 0910.0606 · arxiv_version: 0910.0606v1 · doi: 10.48550/arxiv.0910.0606 · pith_short_12: YT5SMQXEZ74T · pith_short_16: YT5SMQXEZ74T6E7W · pith_short_8: YT5SMQXE

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/YT5SMQXEZ74T6E7WNHKCWUBKDE \
  | 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: c4fb2642e4cff93f13f669d42b502a1938b511695e2829ce67d53e01ffeaff43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0c1320c92829e24672b72b938bb1a0731312602759ffe2eaae622adb5199fb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-04T13:49:26Z",
    "title_canon_sha256": "9affdd563a86432391bbaacacdd17b890e54ce04cff035a771fe3df8bbcf54ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0606",
    "kind": "arxiv",
    "version": 1
  }
}