Pith Number

pith:WH7GUXJD

pith:2014:WH7GUXJDYMLLHGJN5HYKLXD433

not attested not anchored not stored refs pending

Limits of topological minimal sets with finitely generated coefficient groups

Xiangyu Liang

arxiv:1403.3838 v2 · 2014-03-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH7GUXJDYMLLHGJN5HYKLXD433}

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	2026-05-18T02:03:55.655900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fe6a5d23c316b3992de9f0a5dc7cdee4abf8b9a204d0fef7ae17b7614a8c54

Aliases

arxiv: 1403.3838 · arxiv_version: 1403.3838v2 · doi: 10.48550/arxiv.1403.3838 · pith_short_12: WH7GUXJDYMLL · pith_short_16: WH7GUXJDYMLLHGJN · pith_short_8: WH7GUXJD

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/WH7GUXJDYMLLHGJN5HYKLXD433 \
  | 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: b1fe6a5d23c316b3992de9f0a5dc7cdee4abf8b9a204d0fef7ae17b7614a8c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba48fe59b17e087992a33a78dcb2cf2d5e0da99b1a87c3ded9c2bba892f1438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-15T18:30:08Z",
    "title_canon_sha256": "859a19c1040577aebce0e0fd43aca30eac101d9a75474de6c326bf924980465d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3838",
    "kind": "arxiv",
    "version": 2
  }
}