Pith Number

pith:QCTII4GO

pith:2011:QCTII4GOTX3KNQOUOYHK5W34LQ

not attested not anchored not stored refs pending

Explicit equations for Drinfeld modular towers

Alp Bassa, Peter Beelen

arxiv:1110.6076 v1 · 2011-10-27 · 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{QCTII4GOTX3KNQOUOYHK5W34LQ}

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	2026-05-18T04:10:09.730868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a68470ce9df6a6c1d4760eaedb7c5c10eba0018088bbb34d8084a279c6901c

Aliases

arxiv: 1110.6076 · arxiv_version: 1110.6076v1 · doi: 10.48550/arxiv.1110.6076 · pith_short_12: QCTII4GOTX3K · pith_short_16: QCTII4GOTX3KNQOU · pith_short_8: QCTII4GO

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/QCTII4GOTX3KNQOUOYHK5W34LQ \
  | 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: 80a68470ce9df6a6c1d4760eaedb7c5c10eba0018088bbb34d8084a279c6901c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e24e6142684ddf25bd9a0f250909a311f73020c5173dc3b2efa142509c812d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-27T13:23:14Z",
    "title_canon_sha256": "72a81b86befbb089ac67e42ccc95b8901f39c933f484c621809a1df323148bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6076",
    "kind": "arxiv",
    "version": 1
  }
}