Pith Number

pith:LKF3LD2R

pith:2017:LKF3LD2RERMESTDD2XKENXPMH4

not attested not anchored not stored refs pending

Arithmetic statistics of modular symbols

Morten S. Risager, Yiannis N. Petridis

arxiv:1703.09526 v3 · 2017-03-28 · 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{LKF3LD2RERMESTDD2XKENXPMH4}

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	2026-05-18T00:11:50.892114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a8bb58f512458494c63d5d446ddec3f21cee6053bf0e5de82a67f1635ff7986

Aliases

arxiv: 1703.09526 · arxiv_version: 1703.09526v3 · doi: 10.48550/arxiv.1703.09526 · pith_short_12: LKF3LD2RERME · pith_short_16: LKF3LD2RERMESTDD · pith_short_8: LKF3LD2R

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/LKF3LD2RERMESTDD2XKENXPMH4 \
  | 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: 5a8bb58f512458494c63d5d446ddec3f21cee6053bf0e5de82a67f1635ff7986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d75381da1dd3632f6f6de0cff3d481adecb716ffb266e1b7d0c285f54f766d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-28T12:08:37Z",
    "title_canon_sha256": "657410a6d01c12a7f45f063c2c4de17600cc885ac6844e3752fcb27586c37b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09526",
    "kind": "arxiv",
    "version": 3
  }
}