Pith Number

pith:5U32VLQH

pith:2015:5U32VLQHAVC7HJ7PICQI7NNNRF

not attested not anchored not stored refs pending

Notes on Weierstrass points of modular curves $X_0(N)$

Bo-Hae Im, Chang Heon Kim, Daeyeol Jeon

arxiv:1509.03400 v1 · 2015-09-11 · 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{5U32VLQHAVC7HJ7PICQI7NNNRF}

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	2026-05-18T01:33:23.376197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed37aaae070545f3a7ef40a08fb5ad896fd3f78b1f266b61efe1131ada5e2191

Aliases

arxiv: 1509.03400 · arxiv_version: 1509.03400v1 · doi: 10.48550/arxiv.1509.03400 · pith_short_12: 5U32VLQHAVC7 · pith_short_16: 5U32VLQHAVC7HJ7P · pith_short_8: 5U32VLQH

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/5U32VLQHAVC7HJ7PICQI7NNNRF \
  | 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: ed37aaae070545f3a7ef40a08fb5ad896fd3f78b1f266b61efe1131ada5e2191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea7851451c1a7e0b1ab80faa2aef3dbf2252eda87f8d25d9a3a7c58f52e267d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-11T07:25:32Z",
    "title_canon_sha256": "d6a5089e5473eeb3102399e04652cb3684b94c961c083c31d43283e7e2320278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03400",
    "kind": "arxiv",
    "version": 1
  }
}