Pith Number

pith:ZQT3B6OQ

pith:2025:ZQT3B6OQ57G2SLQILQQJYRGKJG

not attested not anchored not stored refs pending

Computing the Level of a Fiber for Points on Modular Curves

Hailey Maxwell

arxiv:2508.17463 v1 · 2025-08-24 · 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{ZQT3B6OQ57G2SLQILQQJYRGKJG}

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	2026-07-05T11:58:41.861413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc27b0f9d0efcda92e085c209c44ca49b1011684e1156f96bd726dd1aed3091d

Aliases

arxiv: 2508.17463 · arxiv_version: 2508.17463v1 · doi: 10.48550/arxiv.2508.17463 · pith_short_12: ZQT3B6OQ57G2 · pith_short_16: ZQT3B6OQ57G2SLQI · pith_short_8: ZQT3B6OQ

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/ZQT3B6OQ57G2SLQILQQJYRGKJG \
  | 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: cc27b0f9d0efcda92e085c209c44ca49b1011684e1156f96bd726dd1aed3091d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8888539a217d3e0e41961219adb1a536648972075a96a0321ee10a6e3e0631",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-24T17:46:52Z",
    "title_canon_sha256": "59123ce49492ff5203513007bc17471d8fb01f90301c8d4fc4f9fc83efcd2e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.17463",
    "kind": "arxiv",
    "version": 1
  }
}