Pith Number

pith:XWODG6RR

pith:2019:XWODG6RRSHU6BKERHJHABKQ4EN

not attested not anchored not stored refs pending

An inequality between finite analogues of rank and crank moments

Bibekananda Maji, Garima Sood, Pramod Eyyunni

arxiv:1908.08660 v1 · 2019-08-23 · 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{XWODG6RRSHU6BKERHJHABKQ4EN}

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	2026-07-05T01:51:36.951142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9c337a3191e9e0a8913a4e00aa1c236cffedfc12044e39e051fc02416fefcf

Aliases

arxiv: 1908.08660 · arxiv_version: 1908.08660v1 · doi: 10.48550/arxiv.1908.08660 · pith_short_12: XWODG6RRSHU6 · pith_short_16: XWODG6RRSHU6BKER · pith_short_8: XWODG6RR

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/XWODG6RRSHU6BKERHJHABKQ4EN \
  | 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: bd9c337a3191e9e0a8913a4e00aa1c236cffedfc12044e39e051fc02416fefcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95b430b949c204e463385a07e482688e1a3394165281d913aecfd65a3d97b66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-23T04:32:52Z",
    "title_canon_sha256": "900a7925657218543537a45d46caa5555bd124f45cf016a287df139de512fab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08660",
    "kind": "arxiv",
    "version": 1
  }
}