Pith Number

pith:XCXLROTP

pith:2011:XCXLROTPMROES7FYR6U3UEN7HF

not attested not anchored not stored refs pending

Explicit formulas for Drinfeld modules and their periods

Ahmad El-Guindy, Matthew A. Papanikolas

arxiv:1112.5378 v1 · 2011-12-22 · 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{XCXLROTPMROES7FYR6U3UEN7HF}

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	2026-05-18T01:15:07.298975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8aeb8ba6f645c497cb88fa9ba11bf394e07cffd9daf76755d5d4f29ee859121

Aliases

arxiv: 1112.5378 · arxiv_version: 1112.5378v1 · doi: 10.48550/arxiv.1112.5378 · pith_short_12: XCXLROTPMROE · pith_short_16: XCXLROTPMROES7FY · pith_short_8: XCXLROTP

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/XCXLROTPMROES7FYR6U3UEN7HF \
  | 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: b8aeb8ba6f645c497cb88fa9ba11bf394e07cffd9daf76755d5d4f29ee859121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3921b1e2f8e8e083933c1bb520af978f8fe637d1136250b22b7f8c525cc2a96a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-22T16:57:55Z",
    "title_canon_sha256": "5e587fc395a04acc3e1d48e3b8dda006af8f04290a5892361b6502fcb6329e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5378",
    "kind": "arxiv",
    "version": 1
  }
}