Pith Number

pith:XUU5KFLB

pith:2017:XUU5KFLBVI2XQP2ALIJLX2ZYC7

not attested not anchored not stored refs pending

Stability of tangent bundles of complete intersections and effective restriction

Jie Liu

arxiv:1711.03413 v3 · 2017-11-09 · 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{XUU5KFLBVI2XQP2ALIJLX2ZYC7}

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	2026-05-18T00:02:45.462853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd29d51561aa35783f405a12bbeb3817ced05a6e20d5de4745d180b7cc9f128a

Aliases

arxiv: 1711.03413 · arxiv_version: 1711.03413v3 · doi: 10.48550/arxiv.1711.03413 · pith_short_12: XUU5KFLBVI2X · pith_short_16: XUU5KFLBVI2XQP2A · pith_short_8: XUU5KFLB

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/XUU5KFLBVI2XQP2ALIJLX2ZYC7 \
  | 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: bd29d51561aa35783f405a12bbeb3817ced05a6e20d5de4745d180b7cc9f128a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63e78ffde6487680a09724b1bc87dd1379c79c587e08d711861509fea545a7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-09T15:09:22Z",
    "title_canon_sha256": "c84347f7e27976e461ce3b55ed52cfeb905b114bdb181d00bea788a3190c02a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03413",
    "kind": "arxiv",
    "version": 3
  }
}