Pith Number

pith:ZIWLKAVJ

pith:2013:ZIWLKAVJSWCSOJLHYIGBZLUPWN

not attested not anchored not stored refs pending

Algorithms for Mumford curves

Qingchun Ren, Ralph Morrison

arxiv:1309.5243 v2 · 2013-09-20 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIWLKAVJSWCSOJLHYIGBZLUPWN}

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	2026-05-18T03:12:11.158287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2cb502a99585272567c20c1cae8fb370943b077f1eab1c893bfdc5e1a054b3

Aliases

arxiv: 1309.5243 · arxiv_version: 1309.5243v2 · doi: 10.48550/arxiv.1309.5243 · pith_short_12: ZIWLKAVJSWCS · pith_short_16: ZIWLKAVJSWCSOJLH · pith_short_8: ZIWLKAVJ

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/ZIWLKAVJSWCSOJLHYIGBZLUPWN \
  | 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: ca2cb502a99585272567c20c1cae8fb370943b077f1eab1c893bfdc5e1a054b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f9fd82a310ad20c5adf455cd2a9967b7f4a808e50e1de6c8cc8bf43184d160c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-20T12:08:18Z",
    "title_canon_sha256": "a9a5fc9fc12b689fb38056702ff378ad802da4b5de1e9c40ce8f383479dd3984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5243",
    "kind": "arxiv",
    "version": 2
  }
}