Pith Number

pith:OL3V7YXR

pith:2014:OL3V7YXRIBGTGXKMDC5DXV6S4S

not attested not anchored not stored refs pending

Nearby Cycles and Alexander Modules of Hypersurface Complements

Yongqiang Liu

arxiv:1405.2343 v1 · 2014-05-09 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OL3V7YXRIBGTGXKMDC5DXV6S4S}

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	2026-05-18T01:02:46.082891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f75fe2f1404d335d4c18ba3bd7d2e4b8cd798b27f60cd9484a93c803cf7c63

Aliases

arxiv: 1405.2343 · arxiv_version: 1405.2343v1 · doi: 10.48550/arxiv.1405.2343 · pith_short_12: OL3V7YXRIBGT · pith_short_16: OL3V7YXRIBGTGXKM · pith_short_8: OL3V7YXR

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/OL3V7YXRIBGTGXKMDC5DXV6S4S \
  | 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: 72f75fe2f1404d335d4c18ba3bd7d2e4b8cd798b27f60cd9484a93c803cf7c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59fbfa0c8d356509cae7953e9e65a6927759e43cbb18220dd752a00daee6785b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-05-09T20:06:36Z",
    "title_canon_sha256": "c59531a243fc4920ba1e92b266fd76ff28bd2d48ef58a73ec88435d179a61301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2343",
    "kind": "arxiv",
    "version": 1
  }
}