Pith Number

pith:L5NNGVRI

pith:2023:L5NNGVRISPBKVOPQW7R6DZJSW5

not attested not anchored not stored refs pending

Murmurations

Nina Zubrilina

arxiv:2310.07681 v2 · 2023-10-11 · 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{L5NNGVRISPBKVOPQW7R6DZJSW5}

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.

Cited by

1 paper in Pith

How Twist Class Redundancy Drives the Prediction of Traces of Frobenius of Elliptic Curves

Receipt and verification

First computed	2026-07-05T11:39:01.373984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5ad3562893c2aab9f0b7e3e1e532b744c7003bd322b2c6db849f232d28e09e

Aliases

arxiv: 2310.07681 · arxiv_version: 2310.07681v2 · doi: 10.48550/arxiv.2310.07681 · pith_short_12: L5NNGVRISPBK · pith_short_16: L5NNGVRISPBKVOPQ · pith_short_8: L5NNGVRI

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/L5NNGVRISPBKVOPQW7R6DZJSW5 \
  | 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: 5f5ad3562893c2aab9f0b7e3e1e532b744c7003bd322b2c6db849f232d28e09e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1134de76cdab1e2dd3a178e855ad97ab66445c8e51362afe1a3c77e269ab95",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-10-11T17:30:24Z",
    "title_canon_sha256": "ab413dfeee7bdb1aa0f9b7fcef435cee5b183b022c5e719e575ca9e03d51b709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.07681",
    "kind": "arxiv",
    "version": 2
  }
}