Pith Number

pith:EHFS3NWM

pith:2025:EHFS3NWMNMQT4KAOLUXAYYS2Z3

not attested not anchored not stored refs pending

An effective version of Chebotarev's density theorem

Habiba Kadiri, Nathan Ng, Sourabhashis Das

arxiv:2508.09480 v1 · 2025-08-13 · 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{EHFS3NWMNMQT4KAOLUXAYYS2Z3}

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	2026-07-05T11:53:15.646539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21cb2db6cc6b213e280e5d2e0c625aceca7337a33185258d03b4085d09762729

Aliases

arxiv: 2508.09480 · arxiv_version: 2508.09480v1 · doi: 10.48550/arxiv.2508.09480 · pith_short_12: EHFS3NWMNMQT · pith_short_16: EHFS3NWMNMQT4KAO · pith_short_8: EHFS3NWM

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/EHFS3NWMNMQT4KAOLUXAYYS2Z3 \
  | 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: 21cb2db6cc6b213e280e5d2e0c625aceca7337a33185258d03b4085d09762729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf97d72f8081072398da56242a97bd151646970ff129d1f98da6bb7dd021fbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-13T04:23:12Z",
    "title_canon_sha256": "37ccf399fac1024bdcb88e77c95537a90bfb659c6be3eff9a026f84812cab77d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09480",
    "kind": "arxiv",
    "version": 1
  }
}