Pith Number

pith:FI32PJMS

pith:2026:FI32PJMS4X3S2SGR3LVYNXOYG4

not attested not anchored not stored refs pending

Murmurations of quadratic and cubic characters over function fields

Alexey Pozdnyakov, Kyu-Hwan Lee, Matilde Lal\'in, Thomas Oliver

arxiv:2608.01337 v1 · 2026-08-02 · 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{FI32PJMS4X3S2SGR3LVYNXOYG4}

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	2026-08-04T02:04:25.877709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a37a7a592e5f72d48d1daeb86ddd8371ea13c8373739fe0ab9ff3cf4f0ffffc

Aliases

arxiv: 2608.01337 · arxiv_version: 2608.01337v1 · doi: 10.48550/arxiv.2608.01337 · pith_short_12: FI32PJMS4X3S · pith_short_16: FI32PJMS4X3S2SGR · pith_short_8: FI32PJMS

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/FI32PJMS4X3S2SGR3LVYNXOYG4 \
  | 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: 2a37a7a592e5f72d48d1daeb86ddd8371ea13c8373739fe0ab9ff3cf4f0ffffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14d6110ca6a6010848dece941a87325edd1360f5c2965c86e9339b3a57e45935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-02T16:01:14Z",
    "title_canon_sha256": "2186a5f9b495f62784e7f1a7701c2d9574509e9a4ae3d562a72b875e985e683f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01337",
    "kind": "arxiv",
    "version": 1
  }
}