Pith Number

pith:KDVWJVRQ

pith:2026:KDVWJVRQBF63W5ZY4RWDUDVJLG

not attested not anchored not stored refs pending

Upper bound for the moment of shifted values of cubic $L$-functions over function fields

Gopal Maiti, Pranendu Darbar, Sampa Dey

arxiv:2608.11611 v1 · 2026-08-12 · 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{KDVWJVRQBF63W5ZY4RWDUDVJLG}

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	2026-08-13T00:22:18.412343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50eb64d630097dbb7738e46c3a0ea95985ca3f87dc1772fdd1680705f9476fe0

Aliases

arxiv: 2608.11611 · arxiv_version: 2608.11611v1 · doi: 10.48550/arxiv.2608.11611 · pith_short_12: KDVWJVRQBF63 · pith_short_16: KDVWJVRQBF63W5ZY · pith_short_8: KDVWJVRQ

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/KDVWJVRQBF63W5ZY4RWDUDVJLG \
  | 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: 50eb64d630097dbb7738e46c3a0ea95985ca3f87dc1772fdd1680705f9476fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a938b9c76c330984bebc93437bff203bd84768f74d5041a8e45ac1f0c30a784e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-12T03:41:15Z",
    "title_canon_sha256": "98bdca03a3be4cf56beb3d502b4d600da12498dd3a839ad70e52f0d13dc9b6b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11611",
    "kind": "arxiv",
    "version": 1
  }
}