Pith Number

pith:MTH3YWRN

pith:2001:MTH3YWRNGA4P2JJUH5W47EOLDT

not attested not anchored not stored refs pending

Modularity of solvable Artin representations of GO(4)-type

Dinakar Ramakrishnan

arxiv:math/0102231 v1 · 2001-02-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTH3YWRNGA4P2JJUH5W47EOLDT}

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	2026-07-04T14:35:06.100120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64cfbc5a2d3038fd25343f6dcf91cb1ceb23b12aa927cb7f5ebd2dba4283db0f

Aliases

arxiv: math/0102231 · arxiv_version: math/0102231v1 · doi: 10.48550/arxiv.math/0102231 · pith_short_12: MTH3YWRNGA4P · pith_short_16: MTH3YWRNGA4P2JJU · pith_short_8: MTH3YWRN

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/MTH3YWRNGA4P2JJUH5W47EOLDT \
  | 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: 64cfbc5a2d3038fd25343f6dcf91cb1ceb23b12aa927cb7f5ebd2dba4283db0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61c99ccc84f978057fa4fd8457e7048e5e6517512ac858a901136bbc3a68ef6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2001-02-06T00:00:00Z",
    "title_canon_sha256": "2dc5274acfdbb430c636d67105e996e54299f51af5b773b5010e26bed8c49ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102231",
    "kind": "arxiv",
    "version": 1
  }
}