Pith Number

pith:LLLBNUIA

pith:2008:LLLBNUIAAP77ICKPYQ6QKIGLTW

not attested not anchored not stored refs pending

Automorphisms of hyperelliptic modular curves $X_0(N)$ in positive characteristic

Aristides Kontogeorgis, Yifan Yang

arxiv:0811.0876 v1 · 2008-11-06 · math.AG · 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{LLLBNUIAAP77ICKPYQ6QKIGLTW}

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	2026-05-17T23:53:39.466662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad616d10003fff4094fc43d0520cb9db2b15c9dffcc3318a6e3e25f808fc7b5

Aliases

arxiv: 0811.0876 · arxiv_version: 0811.0876v1 · doi: 10.48550/arxiv.0811.0876 · pith_short_12: LLLBNUIAAP77 · pith_short_16: LLLBNUIAAP77ICKP · pith_short_8: LLLBNUIA

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/LLLBNUIAAP77ICKPYQ6QKIGLTW \
  | 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: 5ad616d10003fff4094fc43d0520cb9db2b15c9dffcc3318a6e3e25f808fc7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860bd294dad4374e78bf10385d44821d1270b9bcc346e9a9da4edbb24528cfb5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-11-06T06:20:44Z",
    "title_canon_sha256": "fa8ddb5d4e9241cdb6aeb63670214f715e038bc06b2ee6d5e4ae606670b7d162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0876",
    "kind": "arxiv",
    "version": 1
  }
}