Pith Number

pith:L5I3W35L

pith:2013:L5I3W35LJRV53AU5EUSYCMELRI

not attested not anchored not stored refs pending

Embedding periodic maps on surfaces into those on $S^3$

Chao Wang, Shicheng Wang, Yimu Zhang, Yu Guo

arxiv:1302.0972 v1 · 2013-02-05 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5I3W35LJRV53AU5EUSYCMELRI}

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	2026-05-18T03:34:26.607514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f51bb6fab4c6bdd829d252581308b8a3cfd917644e9dd49332e4e2a9d46cd50

Aliases

arxiv: 1302.0972 · arxiv_version: 1302.0972v1 · doi: 10.48550/arxiv.1302.0972 · pith_short_12: L5I3W35LJRV5 · pith_short_16: L5I3W35LJRV53AU5 · pith_short_8: L5I3W35L

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/L5I3W35LJRV53AU5EUSYCMELRI \
  | 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: 5f51bb6fab4c6bdd829d252581308b8a3cfd917644e9dd49332e4e2a9d46cd50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac198f0b8cd2b0ed918b397539df54f5310293a985663aa9811039d2ecb47bc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-05T09:34:45Z",
    "title_canon_sha256": "7629c396837da1b8c90770ce1bd742da8fecd252bb8ea31cd816020ce4710a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0972",
    "kind": "arxiv",
    "version": 1
  }
}