Pith Number

pith:QCWSTM7S

pith:2012:QCWSTM7SA3BTZU76TSIUXJFRPE

not attested not anchored not stored refs pending

Explicit descent in the Picard group of a cyclic cover of the projective line

Brendan Creutz

arxiv:1204.5803 v2 · 2012-04-26 · 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{QCWSTM7SA3BTZU76TSIUXJFRPE}

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	2026-05-18T02:56:32.993292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80ad29b3f206c33cd3fe9c914ba4b1790de6dbe714c2ed8b3ca161e12f70a53b

Aliases

arxiv: 1204.5803 · arxiv_version: 1204.5803v2 · doi: 10.48550/arxiv.1204.5803 · pith_short_12: QCWSTM7SA3BT · pith_short_16: QCWSTM7SA3BTZU76 · pith_short_8: QCWSTM7S

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/QCWSTM7SA3BTZU76TSIUXJFRPE \
  | 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: 80ad29b3f206c33cd3fe9c914ba4b1790de6dbe714c2ed8b3ca161e12f70a53b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63a4c4b9b547f4c599c315e2a9f532d76d308870f31198d888007c59cb706835",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-26T01:35:56Z",
    "title_canon_sha256": "124405b1a0610da1a487cf9011056a85f838aadb8bb2b0b3c3772aa904538f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5803",
    "kind": "arxiv",
    "version": 2
  }
}