Pith Number

pith:5GO2XDCP

pith:2010:5GO2XDCP5DSQ3QTT73F3FDYPMB

not attested not anchored not stored refs pending

A Mild Tchebotarev Theorem for GL$(n)$

Dinakar Ramakrishnan

arxiv:1003.4498 v3 · 2010-03-23 · 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{5GO2XDCP5DSQ3QTT73F3FDYPMB}

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	2026-05-18T02:44:08.799433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99dab8c4fe8e50dc273fecbb28f0f6076e988ff0e2ca14d1a28c973698c2bdc

Aliases

arxiv: 1003.4498 · arxiv_version: 1003.4498v3 · doi: 10.48550/arxiv.1003.4498 · pith_short_12: 5GO2XDCP5DSQ · pith_short_16: 5GO2XDCP5DSQ3QTT · pith_short_8: 5GO2XDCP

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/5GO2XDCP5DSQ3QTT73F3FDYPMB \
  | 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: e99dab8c4fe8e50dc273fecbb28f0f6076e988ff0e2ca14d1a28c973698c2bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f966d1fd020e34af2b5032d1a076610965c9426a6d676fe6a7f157146c661f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-23T19:41:17Z",
    "title_canon_sha256": "0708121bcc39bc387566ea67b7dfbb4f950db22e2a77da7e9529e9d06cb3374d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4498",
    "kind": "arxiv",
    "version": 3
  }
}