Pith Number

pith:OJAUKBIP

pith:2016:OJAUKBIPSKPLM2TTRRMYBLNQJ7

not attested not anchored not stored refs pending

Twists of superelliptic curves without rational points

Fran\c{c}ois Legrand

arxiv:1603.07171 v3 · 2016-03-23 · 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{OJAUKBIPSKPLM2TTRRMYBLNQJ7}

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	2026-05-18T01:09:06.549783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724145050f929eb66a738c5980adb04feb669ef42cd5eb3980c24c6b3b8231f4

Aliases

arxiv: 1603.07171 · arxiv_version: 1603.07171v3 · doi: 10.48550/arxiv.1603.07171 · pith_short_12: OJAUKBIPSKPL · pith_short_16: OJAUKBIPSKPLM2TT · pith_short_8: OJAUKBIP

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/OJAUKBIPSKPLM2TTRRMYBLNQJ7 \
  | 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: 724145050f929eb66a738c5980adb04feb669ef42cd5eb3980c24c6b3b8231f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd792a0f02d9b8b8424e786038878e3188dba18215e9c0ce0b4561fa8efbe605",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-23T13:17:38Z",
    "title_canon_sha256": "b98e948b72a1be1d8cee638d97859f21b6c885155ead095f2aacceab742364c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07171",
    "kind": "arxiv",
    "version": 3
  }
}