Pith Number

pith:5KLJPNB7

pith:2007:5KLJPNB7SAKPPYFZB6AP2NMLZ7

not attested not anchored not stored refs pending

Conformal maps from a 2-torus to the 4-sphere

C. Bohle, F. Pedit, K. Leschke, U. Pinkall

arxiv:0712.2311 v1 · 2007-12-14 · 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{5KLJPNB7SAKPPYFZB6AP2NMLZ7}

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	2026-05-18T03:38:03.594565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9697b43f9014f7e0b90f80fd358bcfc8234a33f7ef1405c127eaeb3c27290f

Aliases

arxiv: 0712.2311 · arxiv_version: 0712.2311v1 · doi: 10.48550/arxiv.0712.2311 · pith_short_12: 5KLJPNB7SAKP · pith_short_16: 5KLJPNB7SAKPPYFZ · pith_short_8: 5KLJPNB7

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/5KLJPNB7SAKPPYFZB6AP2NMLZ7 \
  | 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: ea9697b43f9014f7e0b90f80fd358bcfc8234a33f7ef1405c127eaeb3c27290f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "457e89e5db069c212f494eec384243b989610ee8422a64af8dac8f472b8e9070",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-12-14T09:46:54Z",
    "title_canon_sha256": "a540f1315ab2f46b8d7ec85de02b598d97d95ec9811db6b201159329261b5554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2311",
    "kind": "arxiv",
    "version": 1
  }
}