Pith Number

pith:BBOPEIFO

pith:2016:BBOPEIFOLT3E6H3CCNZROER5ZQ

not attested not anchored not stored refs pending

Modular invariants and singularity indices of hyperelliptic fibrations

Xiao-Lei Liu

arxiv:1605.01803 v1 · 2016-05-06 · 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{BBOPEIFOLT3E6H3CCNZROER5ZQ}

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	2026-05-18T01:15:31.377416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085cf220ae5cf64f1f62137317123dcc2a114c456d5a2e6fc5ffb96e8155880a

Aliases

arxiv: 1605.01803 · arxiv_version: 1605.01803v1 · doi: 10.48550/arxiv.1605.01803 · pith_short_12: BBOPEIFOLT3E · pith_short_16: BBOPEIFOLT3E6H3C · pith_short_8: BBOPEIFO

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/BBOPEIFOLT3E6H3CCNZROER5ZQ \
  | 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: 085cf220ae5cf64f1f62137317123dcc2a114c456d5a2e6fc5ffb96e8155880a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ce34f38557cef6e5d98ea613b26aad14dc61a63e886080462e312de4971f0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-06T02:05:04Z",
    "title_canon_sha256": "78e8e6fb415e30ecee6efa92d150e6c6a2231a06c943cdd8002cd39dab7be8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01803",
    "kind": "arxiv",
    "version": 1
  }
}