Pith Number

pith:4MHIDG6X

pith:2024:4MHIDG6XVAYYZ5MPXJX24CJDYL

not attested not anchored not stored refs pending

Weighted enumeration of number-fields and counting points that take bounded squarefree values along certain polynomials using Pseudo and Sudo maximal orders

Gaurav Digambar Patil

arxiv:2411.10917 v2 · 2024-11-17 · math.NT · 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{4MHIDG6XVAYYZ5MPXJX24CJDYL}

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	2026-06-10T01:09:13.842419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30e819bd7a8318cf58fba6fae0923c2cba648fbeb7c0f914a861771045121ed

Aliases

arxiv: 2411.10917 · arxiv_version: 2411.10917v2 · doi: 10.48550/arxiv.2411.10917 · pith_short_12: 4MHIDG6XVAYY · pith_short_16: 4MHIDG6XVAYYZ5MP · pith_short_8: 4MHIDG6X

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/4MHIDG6XVAYYZ5MPXJX24CJDYL \
  | 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: e30e819bd7a8318cf58fba6fae0923c2cba648fbeb7c0f914a861771045121ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fba39458e0bc3501fb766d50855ede52f94685f692f7d8fc5580911c1a9c806",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-17T00:00:58Z",
    "title_canon_sha256": "1c4d5ac32a123a4b2c2f49ffe0877c60832cb1741b68946628576de60d380280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10917",
    "kind": "arxiv",
    "version": 2
  }
}