Pith Number

pith:GYCORQ2B

pith:2004:GYCORQ2BLSZM7LA6RR3IWBP37F

not attested not anchored not stored refs pending

Bounded Submodules of Modules

Markus Schmidmeier

arxiv:math/0408181 v1 · 2004-08-13 · 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{GYCORQ2BLSZM7LA6RR3IWBP37F}

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	2026-05-17T23:42:09.286438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3604e8c3415cb2cfac1e8c768b05fbf94b58f56aa5b50c1de4286dd3ff7513e9

Aliases

arxiv: math/0408181 · arxiv_version: math/0408181v1 · doi: 10.48550/arxiv.math/0408181 · pith_short_12: GYCORQ2BLSZM · pith_short_16: GYCORQ2BLSZM7LA6 · pith_short_8: GYCORQ2B

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/GYCORQ2BLSZM7LA6RR3IWBP37F \
  | 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: 3604e8c3415cb2cfac1e8c768b05fbf94b58f56aa5b50c1de4286dd3ff7513e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f17117669c29caa8207db224e8fe5b7cbcf845614005fb7b31c88b92dc9a3f5",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-08-13T18:33:14Z",
    "title_canon_sha256": "5cdb715a61e42a21a3d4034061f528b30b451d0bddd4e3514c1282b728062464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408181",
    "kind": "arxiv",
    "version": 1
  }
}