Pith Number

pith:PDE7A5CW

pith:2006:PDE7A5CWAF7TJNNLIFU6I2UDHB

not attested not anchored not stored refs pending

Irreducibility and cuspidality

Dinakar Ramakrishnan

arxiv:math/0609460 v2 · 2006-09-16 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDE7A5CWAF7TJNNLIFU6I2UDHB}

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	2026-07-04T14:56:34.375436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c9f07456017f34b5ab4169e46a83384b843fe27f2b61b137f15e954c8ed25b

Aliases

arxiv: math/0609460 · arxiv_version: math/0609460v2 · doi: 10.48550/arxiv.math/0609460 · pith_short_12: PDE7A5CWAF7T · pith_short_16: PDE7A5CWAF7TJNNL · pith_short_8: PDE7A5CW

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/PDE7A5CWAF7TJNNLIFU6I2UDHB \
  | 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: 78c9f07456017f34b5ab4169e46a83384b843fe27f2b61b137f15e954c8ed25b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676fe3178f26d02893802e66769787d0a175f135125ce62771c9c033318b560c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-09-16T06:21:00Z",
    "title_canon_sha256": "ceb6d2a56cff8b35a5211b87cb774e0cbab7ae5e965804c569d96d008f89badd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609460",
    "kind": "arxiv",
    "version": 2
  }
}