Pith. sign in
Pith Number

pith:UWEWYWVG

pith:2021:UWEWYWVG6SMS5AYISTNKDZTAPJ
not attested not anchored not stored refs pending

Family Bauer--Furuta invariant, Exotic Surfaces and Smale conjecture

Anubhav Mukherjee, Jianfeng Lin

arxiv:2110.09686 v2 · 2021-10-19 · math.GT · math.AT · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UWEWYWVG6SMS5AYISTNKDZTAPJ}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T03:31:31.503507Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a5896c5aa6f4992e830894daa1e6607a5c0959c745040d90272710ad8904b023

Aliases

arxiv: 2110.09686 · arxiv_version: 2110.09686v2 · doi: 10.48550/arxiv.2110.09686 · pith_short_12: UWEWYWVG6SMS · pith_short_16: UWEWYWVG6SMS5AYI · pith_short_8: UWEWYWVG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UWEWYWVG6SMS5AYISTNKDZTAPJ \
  | 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: a5896c5aa6f4992e830894daa1e6607a5c0959c745040d90272710ad8904b023
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4fd08d018e0377f3670178550076dc9a7cae373761a34567b9d2cc0272d79724",
    "cross_cats_sorted": [
      "math.AT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-10-19T01:34:11Z",
    "title_canon_sha256": "1d26f9377b648d24e5ed1a91df8f35895a96976ec87b82124672d1488a9b893e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09686",
    "kind": "arxiv",
    "version": 2
  }
}