Pith Number

pith:GZ3FMSDE

pith:2018:GZ3FMSDEUJNGJWVOHHGN55AG65

not attested not anchored not stored refs pending

Limits of traces of singular moduli

Dohoon Choi, Subong Lim

arxiv:1809.02938 v1 · 2018-09-09 · 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{GZ3FMSDEUJNGJWVOHHGN55AG65}

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	2026-05-18T00:05:13.605981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3676564864a25a64daae39ccdef406f761515231f1a6cdbfdfc4bcd7871b258d

Aliases

arxiv: 1809.02938 · arxiv_version: 1809.02938v1 · doi: 10.48550/arxiv.1809.02938 · pith_short_12: GZ3FMSDEUJNG · pith_short_16: GZ3FMSDEUJNGJWVO · pith_short_8: GZ3FMSDE

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/GZ3FMSDEUJNGJWVOHHGN55AG65 \
  | 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: 3676564864a25a64daae39ccdef406f761515231f1a6cdbfdfc4bcd7871b258d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fddcd33dcd12870034c4ab61fb3a376fbdf1dee87f10abe674ed8963c22ab6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-09T08:18:08Z",
    "title_canon_sha256": "efcbbbb8192d32ad3f65d35c7501171b88a2f52cf73fa8f876f4f375fcf94573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02938",
    "kind": "arxiv",
    "version": 1
  }
}