Pith Number

pith:A75D3WSS

pith:2015:A75D3WSSXR66JJUP5KZIK2FSHN

not attested not anchored not stored refs pending

Compact Stein surfaces as branched covers with same branch sets

Takahiro Oba

arxiv:1508.01020 v2 · 2015-08-05 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A75D3WSSXR66JJUP5KZIK2FSHN}

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	2026-05-18T00:18:54.323148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07fa3dda52bc7de4a68feab28568b23b5eaa506960f1c827936c4c548a5039b4

Aliases

arxiv: 1508.01020 · arxiv_version: 1508.01020v2 · doi: 10.48550/arxiv.1508.01020 · pith_short_12: A75D3WSSXR66 · pith_short_16: A75D3WSSXR66JJUP · pith_short_8: A75D3WSS

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/A75D3WSSXR66JJUP5KZIK2FSHN \
  | 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: 07fa3dda52bc7de4a68feab28568b23b5eaa506960f1c827936c4c548a5039b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6545ebbfa77164baf28664d55da82931fdc858e48ab91679b2b1902095dd4bff",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-05T09:46:31Z",
    "title_canon_sha256": "3a2fa5db8821376e4970fa6496c79280cf46f2ab530e8e76e4db711bb9fc6697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01020",
    "kind": "arxiv",
    "version": 2
  }
}