Pith Number

pith:QDRAJAMQ

pith:2017:QDRAJAMQW5GRKOS7FIJYKAB3YD

not attested not anchored not stored refs pending

Foliations associated to harmonic maps and some complex two ball quotients

Sai-Kee Yeung

arxiv:1706.04342 v1 · 2017-06-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDRAJAMQW5GRKOS7FIJYKAB3YD}

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	2026-05-18T00:41:58.751145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e2048190b74d153a5f2a1385003bc0e449b4b1cf75af8f3001b4b61b453801

Aliases

arxiv: 1706.04342 · arxiv_version: 1706.04342v1 · doi: 10.48550/arxiv.1706.04342 · pith_short_12: QDRAJAMQW5GR · pith_short_16: QDRAJAMQW5GRKOS7 · pith_short_8: QDRAJAMQ

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/QDRAJAMQW5GRKOS7FIJYKAB3YD \
  | 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: 80e2048190b74d153a5f2a1385003bc0e449b4b1cf75af8f3001b4b61b453801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edba29a00e3c38cfad34c805c7f384a92e73707aeedb483e0893f8af214004f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-14T07:45:08Z",
    "title_canon_sha256": "b08a7454d4a06bb5b6adb593d4ceccf6428463f44c98eb46161a00369da6b18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04342",
    "kind": "arxiv",
    "version": 1
  }
}