Pith Number

pith:6PVPZRAR

pith:2012:6PVPZRARILYYXNHS4ZGSPIUEUD

not attested not anchored not stored refs pending

Conservative Subgroup Separability For Surfaces With Boundary

Daryl Cooper, Mark D. Baker

arxiv:1204.4636 v1 · 2012-04-20 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PVPZRARILYYXNHS4ZGSPIUEUD}

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	2026-05-18T02:41:43.225209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3eafcc41142f18bb4f2e64d27a284a0dda1eceb72e2d39c24e3e83aa1fa6525

Aliases

arxiv: 1204.4636 · arxiv_version: 1204.4636v1 · doi: 10.48550/arxiv.1204.4636 · pith_short_12: 6PVPZRARILYY · pith_short_16: 6PVPZRARILYYXNHS · pith_short_8: 6PVPZRAR

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/6PVPZRARILYYXNHS4ZGSPIUEUD \
  | 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: f3eafcc41142f18bb4f2e64d27a284a0dda1eceb72e2d39c24e3e83aa1fa6525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b608d81c709775324bd3d5a0e55942c096d635ae5b8caa239b69ee381b21eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-20T14:05:33Z",
    "title_canon_sha256": "96bf2c146a5a6e02ea96acf3fcff07d3570057c23a514256a06084ee8b29d6d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4636",
    "kind": "arxiv",
    "version": 1
  }
}