Pith Number

pith:4E2LJ2OO

pith:2016:4E2LJ2OOHZTB2NMXRYPEQG7ICS

not attested not anchored not stored refs pending

The most symmetric surfaces in the 3-torus

Chao Wang, Sheng Bai, Shicheng Wang, Vanessa Robins

arxiv:1603.08077 v1 · 2016-03-26 · 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{4E2LJ2OOHZTB2NMXRYPEQG7ICS}

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	2026-05-18T01:18:13.381583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e134b4e9ce3e661d35978e1e481be814adcab573cba43ea755cc6c985bcf9b16

Aliases

arxiv: 1603.08077 · arxiv_version: 1603.08077v1 · doi: 10.48550/arxiv.1603.08077 · pith_short_12: 4E2LJ2OOHZTB · pith_short_16: 4E2LJ2OOHZTB2NMX · pith_short_8: 4E2LJ2OO

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/4E2LJ2OOHZTB2NMXRYPEQG7ICS \
  | 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: e134b4e9ce3e661d35978e1e481be814adcab573cba43ea755cc6c985bcf9b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf066d9ae89cfa6c4a365f572bb98e08a085d345aba9b4dd4b8ab7ccd1a7038",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-26T06:10:50Z",
    "title_canon_sha256": "6de12b785ce0812f538a27a7e1fff5a7b8febacc4c58db0d79c12e8f3d7f4404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08077",
    "kind": "arxiv",
    "version": 1
  }
}