Pith Number

pith:GERCSABJ

pith:2024:GERCSABJDC3T2G3TYSGLUAPPY3

not attested not anchored not stored refs pending

Inequalities involving Higher Degree Polynomial Functions in $\pi(x)$

Subham De

arxiv:2407.18983 v4 · 2024-07-24 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GERCSABJDC3T2G3TYSGLUAPPY3}

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	2026-07-05T08:56:23.073600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

312229002918b73d1b73c48cba01efc6e51fb7760923c9a8a3fe81dc88af01d8

Aliases

arxiv: 2407.18983 · arxiv_version: 2407.18983v4 · doi: 10.48550/arxiv.2407.18983 · pith_short_12: GERCSABJDC3T · pith_short_16: GERCSABJDC3T2G3T · pith_short_8: GERCSABJ

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/GERCSABJDC3T2G3TYSGLUAPPY3 \
  | 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: 312229002918b73d1b73c48cba01efc6e51fb7760923c9a8a3fe81dc88af01d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b39cd51e9a03cebc6f5f78803999ef373e2365497a6a280c55dd9b43c8d32e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2024-07-24T07:49:17Z",
    "title_canon_sha256": "af6be066a39ef69fe9d9a307caae7e2a7ae37fa2cdb672e5c48c37a261d9a6ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.18983",
    "kind": "arxiv",
    "version": 4
  }
}