Pith Number

pith:EGKGRWHJ

pith:2013:EGKGRWHJEBIT43QDFBQRI2HDE7

not attested not anchored not stored refs pending

Computing Galois representations and equations for modular curves $X_H(\ell)$

Jinxiang Zeng, Maarten Derickx, Mark van Hoeij

arxiv:1312.6819 v2 · 2013-12-24 · 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{EGKGRWHJEBIT43QDFBQRI2HDE7}

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	2026-05-18T02:56:11.194640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

219468d8e920513e6e0328611468e327e764b6deae3e502285dcdbbf4d8932c8

Aliases

arxiv: 1312.6819 · arxiv_version: 1312.6819v2 · doi: 10.48550/arxiv.1312.6819 · pith_short_12: EGKGRWHJEBIT · pith_short_16: EGKGRWHJEBIT43QD · pith_short_8: EGKGRWHJ

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/EGKGRWHJEBIT43QDFBQRI2HDE7 \
  | 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: 219468d8e920513e6e0328611468e327e764b6deae3e502285dcdbbf4d8932c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1eb0c859de6fcf62d10f16a211cf08de3dec3a45c0b501692af05d93c84455d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-24T14:07:22Z",
    "title_canon_sha256": "6f6573ceb5056ffc9156fb5118b8ed79c14ce323d9ae526282b4b515432db86c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6819",
    "kind": "arxiv",
    "version": 2
  }
}