Pith Number

pith:Z5LDU6LF

pith:2015:Z5LDU6LFCM5CLNYYF3RYJ3J4XN

not attested not anchored not stored refs pending

Stable maps of genus zero in the space of stable vector bundles on a curve

Kiryong Chung, Sanghyeon Lee

arxiv:1512.07726 v2 · 2015-12-24 · 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{Z5LDU6LFCM5CLNYYF3RYJ3J4XN}

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	2026-05-18T00:29:47.163585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf563a7965133a25b7182ee384ed3cbb520c4588be3108749ea72b77e82b454c

Aliases

arxiv: 1512.07726 · arxiv_version: 1512.07726v2 · doi: 10.48550/arxiv.1512.07726 · pith_short_12: Z5LDU6LFCM5C · pith_short_16: Z5LDU6LFCM5CLNYY · pith_short_8: Z5LDU6LF

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/Z5LDU6LFCM5CLNYYF3RYJ3J4XN \
  | 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: cf563a7965133a25b7182ee384ed3cbb520c4588be3108749ea72b77e82b454c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96716cefcf1829cfeb17553631d0904c075fef4fbd2ca227c259b359ff19037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-24T06:38:04Z",
    "title_canon_sha256": "431163ea92d183dd7c9780d62a8513d189e115f5b3314d196f9d652a6fc5827e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07726",
    "kind": "arxiv",
    "version": 2
  }
}