pith. sign in
Pith Number

pith:OJ6IIOAP

pith:2013:OJ6IIOAPB7B53GLJ57HNUPMPTI
not attested not anchored not stored refs pending

Thick-skinned 3-manifolds

Richard P. Kent IV, Yair N. Minsky

arxiv:1305.2412 v2 · 2013-05-10 · math.GT · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OJ6IIOAPB7B53GLJ57HNUPMPTI}

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 2026-05-18T02:44:06.986289Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

727c84380f0fc3dd9969efceda3d8f9a37d588386647e862913351f4478498bd

Aliases

arxiv: 1305.2412 · arxiv_version: 1305.2412v2 · doi: 10.48550/arxiv.1305.2412 · pith_short_12: OJ6IIOAPB7B5 · pith_short_16: OJ6IIOAPB7B53GLJ · pith_short_8: OJ6IIOAP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OJ6IIOAPB7B53GLJ57HNUPMPTI \
  | 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: 727c84380f0fc3dd9969efceda3d8f9a37d588386647e862913351f4478498bd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c3816ec995cf081cc950692d04abb6114d200411b01da8471bfc30f7fbd21b08",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-10T19:49:30Z",
    "title_canon_sha256": "8b89d56f27c0e5c0463a41cad41570d2ab38fae50b6033163f2ca563a65f19b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2412",
    "kind": "arxiv",
    "version": 2
  }
}